Finding the Third Proportional to 38,664 and 82,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,664 : 82,066.50 = 82,066.50 : x
2. Step 2: Convert to fraction form
   38,664/82,066.50 = 82,066.50/x
3. Step 3: Cross multiply
   38,664x = 82,066.50 × 82,066.50
4. Step 4: Simplify right side
   38,664x = 6,734,910,422.25
5. Step 5: Solve for x
   x = 6,734,910,422.25/38,664
6. Step 6: Final answer
   x = 174,190.73