Finding the Third Proportional to 6,856.13 and 10,359.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.13 : 10,359.38 = 10,359.38 : x
2. Step 2: Convert to fraction form
   6,856.13/10,359.38 = 10,359.38/x
3. Step 3: Cross multiply
   6,856.13x = 10,359.38 × 10,359.38
4. Step 4: Simplify right side
   6,856.13x = 107,316,650.39
5. Step 5: Solve for x
   x = 107,316,650.39/6,856.13
6. Step 6: Final answer
   x = 15,652.67