Finding the Third Proportional to 38,391 and 82,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,391 : 82,612.50 = 82,612.50 : x
2. Step 2: Convert to fraction form
   38,391/82,612.50 = 82,612.50/x
3. Step 3: Cross multiply
   38,391x = 82,612.50 × 82,612.50
4. Step 4: Simplify right side
   38,391x = 6,824,825,156.25
5. Step 5: Solve for x
   x = 6,824,825,156.25/38,391
6. Step 6: Final answer
   x = 177,771.49