Finding the Third Proportional to 38,676 and 81,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,676 : 81,928.50 = 81,928.50 : x
2. Step 2: Convert to fraction form
   38,676/81,928.50 = 81,928.50/x
3. Step 3: Cross multiply
   38,676x = 81,928.50 × 81,928.50
4. Step 4: Simplify right side
   38,676x = 6,712,279,112.25
5. Step 5: Solve for x
   x = 6,712,279,112.25/38,676
6. Step 6: Final answer
   x = 173,551.53