Finding the Third Proportional to 7,042.50 and 7,650

Step by Step Solution

1. Step 1: Write the proportion equation
   7,042.50 : 7,650 = 7,650 : x
2. Step 2: Convert to fraction form
   7,042.50/7,650 = 7,650/x
3. Step 3: Cross multiply
   7,042.50x = 7,650 × 7,650
4. Step 4: Simplify right side
   7,042.50x = 58,522,500
5. Step 5: Solve for x
   x = 58,522,500/7,042.50
6. Step 6: Final answer
   x = 8,309.90