Finding the Third Proportional to 25,635,837,904,762 and 34,588,764,488,280

Step by Step Solution

1. Step 1: Write the proportion equation
   25,635,837,904,762 : 34,588,764,488,280 = 34,588,764,488,280 : x
2. Step 2: Convert to fraction form
   25,635,837,904,762/34,588,764,488,280 = 34,588,764,488,280/x
3. Step 3: Cross multiply
   25,635,837,904,762x = 34,588,764,488,280 × 34,588,764,488,280
4. Step 4: Simplify right side
   25,635,837,904,762x = 1,196,382,628,825,699,675,879,243,776
5. Step 5: Solve for x
   x = 1,196,382,628,825,699,675,879,243,776/25,635,837,904,762
6. Step 6: Final answer
   x = 46,668,364,547,720.32