Finding the Third Proportional to 51,989.25 and 82,641.38

Step by Step Solution

1. Step 1: Write the proportion equation
   51,989.25 : 82,641.38 = 82,641.38 : x
2. Step 2: Convert to fraction form
   51,989.25/82,641.38 = 82,641.38/x
3. Step 3: Cross multiply
   51,989.25x = 82,641.38 × 82,641.38
4. Step 4: Simplify right side
   51,989.25x = 6,829,596,861.89
5. Step 5: Solve for x
   x = 6,829,596,861.89/51,989.25
6. Step 6: Final answer
   x = 131,365.56