Finding the Third Proportional to 39,569.50 and 83,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,569.50 : 83,553.50 = 83,553.50 : x
2. Step 2: Convert to fraction form
   39,569.50/83,553.50 = 83,553.50/x
3. Step 3: Cross multiply
   39,569.50x = 83,553.50 × 83,553.50
4. Step 4: Simplify right side
   39,569.50x = 6,981,187,362.25
5. Step 5: Solve for x
   x = 6,981,187,362.25/39,569.50
6. Step 6: Final answer
   x = 176,428.50