Finding the Third Proportional to 29,749.50 and 39,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,749.50 : 39,658.50 = 39,658.50 : x
2. Step 2: Convert to fraction form
   29,749.50/39,658.50 = 39,658.50/x
3. Step 3: Cross multiply
   29,749.50x = 39,658.50 × 39,658.50
4. Step 4: Simplify right side
   29,749.50x = 1,572,796,622.25
5. Step 5: Solve for x
   x = 1,572,796,622.25/29,749.50
6. Step 6: Final answer
   x = 52,868.00