Finding the Third Proportional to 6,838.31 and 10,713.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,838.31 : 10,713.38 = 10,713.38 : x
2. Step 2: Convert to fraction form
   6,838.31/10,713.38 = 10,713.38/x
3. Step 3: Cross multiply
   6,838.31x = 10,713.38 × 10,713.38
4. Step 4: Simplify right side
   6,838.31x = 114,776,403.89
5. Step 5: Solve for x
   x = 114,776,403.89/6,838.31
6. Step 6: Final answer
   x = 16,784.32