Finding the Third Proportional to 51,825 and 82,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,825 : 82,504.50 = 82,504.50 : x
2. Step 2: Convert to fraction form
   51,825/82,504.50 = 82,504.50/x
3. Step 3: Cross multiply
   51,825x = 82,504.50 × 82,504.50
4. Step 4: Simplify right side
   51,825x = 6,806,992,520.25
5. Step 5: Solve for x
   x = 6,806,992,520.25/51,825
6. Step 6: Final answer
   x = 131,345.73