Finding the Third Proportional to 29,675.25 and 39,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,675.25 : 39,640.50 = 39,640.50 : x
2. Step 2: Convert to fraction form
   29,675.25/39,640.50 = 39,640.50/x
3. Step 3: Cross multiply
   29,675.25x = 39,640.50 × 39,640.50
4. Step 4: Simplify right side
   29,675.25x = 1,571,369,240.25
5. Step 5: Solve for x
   x = 1,571,369,240.25/29,675.25
6. Step 6: Final answer
   x = 52,952.18