Finding the Third Proportional to 29,727 and 64,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,727 : 64,435.50 = 64,435.50 : x
2. Step 2: Convert to fraction form
   29,727/64,435.50 = 64,435.50/x
3. Step 3: Cross multiply
   29,727x = 64,435.50 × 64,435.50
4. Step 4: Simplify right side
   29,727x = 4,151,933,660.25
5. Step 5: Solve for x
   x = 4,151,933,660.25/29,727
6. Step 6: Final answer
   x = 139,668.77