Finding the Third Proportional to 6,502.50 and 9,510

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.50 : 9,510 = 9,510 : x
2. Step 2: Convert to fraction form
   6,502.50/9,510 = 9,510/x
3. Step 3: Cross multiply
   6,502.50x = 9,510 × 9,510
4. Step 4: Simplify right side
   6,502.50x = 90,440,100
5. Step 5: Solve for x
   x = 90,440,100/6,502.50
6. Step 6: Final answer
   x = 13,908.51