Finding the Third Proportional to 6,892.59 and 10,340.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,892.59 : 10,340.16 = 10,340.16 : x
2. Step 2: Convert to fraction form
   6,892.59/10,340.16 = 10,340.16/x
3. Step 3: Cross multiply
   6,892.59x = 10,340.16 × 10,340.16
4. Step 4: Simplify right side
   6,892.59x = 106,918,831.27
5. Step 5: Solve for x
   x = 106,918,831.27/6,892.59
6. Step 6: Final answer
   x = 15,512.13