Finding the Third Proportional to 51,468.75 and 82,191.38

Step by Step Solution

1. Step 1: Write the proportion equation
   51,468.75 : 82,191.38 = 82,191.38 : x
2. Step 2: Convert to fraction form
   51,468.75/82,191.38 = 82,191.38/x
3. Step 3: Cross multiply
   51,468.75x = 82,191.38 × 82,191.38
4. Step 4: Simplify right side
   51,468.75x = 6,755,422,124.39
5. Step 5: Solve for x
   x = 6,755,422,124.39/51,468.75
6. Step 6: Final answer
   x = 131,252.89