Finding the Third Proportional to 53,764 and 82,500

Step by Step Solution

1. Step 1: Write the proportion equation
   53,764 : 82,500 = 82,500 : x
2. Step 2: Convert to fraction form
   53,764/82,500 = 82,500/x
3. Step 3: Cross multiply
   53,764x = 82,500 × 82,500
4. Step 4: Simplify right side
   53,764x = 6,806,250,000
5. Step 5: Solve for x
   x = 6,806,250,000/53,764
6. Step 6: Final answer
   x = 126,594.93