Finding the Third Proportional to 6,829.31 and 10,013.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,829.31 : 10,013.63 = 10,013.63 : x
2. Step 2: Convert to fraction form
   6,829.31/10,013.63 = 10,013.63/x
3. Step 3: Cross multiply
   6,829.31x = 10,013.63 × 10,013.63
4. Step 4: Simplify right side
   6,829.31x = 100,272,685.64
5. Step 5: Solve for x
   x = 100,272,685.64/6,829.31
6. Step 6: Final answer
   x = 14,682.69