Finding the Third Proportional to 38,553 and 83,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,553 : 83,728.50 = 83,728.50 : x
2. Step 2: Convert to fraction form
   38,553/83,728.50 = 83,728.50/x
3. Step 3: Cross multiply
   38,553x = 83,728.50 × 83,728.50
4. Step 4: Simplify right side
   38,553x = 7,010,461,712.25
5. Step 5: Solve for x
   x = 7,010,461,712.25/38,553
6. Step 6: Final answer
   x = 181,839.59