Finding the Third Proportional to 51,990 and 82,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,990 : 82,642.50 = 82,642.50 : x
2. Step 2: Convert to fraction form
   51,990/82,642.50 = 82,642.50/x
3. Step 3: Cross multiply
   51,990x = 82,642.50 × 82,642.50
4. Step 4: Simplify right side
   51,990x = 6,829,782,806.25
5. Step 5: Solve for x
   x = 6,829,782,806.25/51,990
6. Step 6: Final answer
   x = 131,367.24