Finding the Third Proportional to 35,642.25 and 49,830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,642.25 : 49,830.38 = 49,830.38 : x
2. Step 2: Convert to fraction form
   35,642.25/49,830.38 = 49,830.38/x
3. Step 3: Cross multiply
   35,642.25x = 49,830.38 × 49,830.38
4. Step 4: Simplify right side
   35,642.25x = 2,483,066,272.64
5. Step 5: Solve for x
   x = 2,483,066,272.64/35,642.25
6. Step 6: Final answer
   x = 69,666.37