Finding the Third Proportional to 6,748.31 and 9,818.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,748.31 : 9,818.72 = 9,818.72 : x
2. Step 2: Convert to fraction form
   6,748.31/9,818.72 = 9,818.72/x
3. Step 3: Cross multiply
   6,748.31x = 9,818.72 × 9,818.72
4. Step 4: Simplify right side
   6,748.31x = 96,407,237.89
5. Step 5: Solve for x
   x = 96,407,237.89/6,748.31
6. Step 6: Final answer
   x = 14,286.13