Finding the Third Proportional to 6,498.38 and 9,293

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498.38 : 9,293 = 9,293 : x
2. Step 2: Convert to fraction form
   6,498.38/9,293 = 9,293/x
3. Step 3: Cross multiply
   6,498.38x = 9,293 × 9,293
4. Step 4: Simplify right side
   6,498.38x = 86,359,849
5. Step 5: Solve for x
   x = 86,359,849/6,498.38
6. Step 6: Final answer
   x = 13,289.45