Finding the Third Proportional to 6,499 and 9,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499 : 9,262.50 = 9,262.50 : x
2. Step 2: Convert to fraction form
   6,499/9,262.50 = 9,262.50/x
3. Step 3: Cross multiply
   6,499x = 9,262.50 × 9,262.50
4. Step 4: Simplify right side
   6,499x = 85,793,906.25
5. Step 5: Solve for x
   x = 85,793,906.25/6,499
6. Step 6: Final answer
   x = 13,201.09