Finding the Third Proportional to 29,782.69 and 64,288.69

Step by Step Solution

1. Step 1: Write the proportion equation
   29,782.69 : 64,288.69 = 64,288.69 : x
2. Step 2: Convert to fraction form
   29,782.69/64,288.69 = 64,288.69/x
3. Step 3: Cross multiply
   29,782.69x = 64,288.69 × 64,288.69
4. Step 4: Simplify right side
   29,782.69x = 4,133,035,340.47
5. Step 5: Solve for x
   x = 4,133,035,340.47/29,782.69
6. Step 6: Final answer
   x = 138,773.08