Finding the Third Proportional to 38,540 and 83,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,540 : 83,631.50 = 83,631.50 : x
2. Step 2: Convert to fraction form
   38,540/83,631.50 = 83,631.50/x
3. Step 3: Cross multiply
   38,540x = 83,631.50 × 83,631.50
4. Step 4: Simplify right side
   38,540x = 6,994,227,792.25
5. Step 5: Solve for x
   x = 6,994,227,792.25/38,540
6. Step 6: Final answer
   x = 181,479.70