Finding the Third Proportional to 6,458.93 and 9,414.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,458.93 : 9,414.72 = 9,414.72 : x
2. Step 2: Convert to fraction form
   6,458.93/9,414.72 = 9,414.72/x
3. Step 3: Cross multiply
   6,458.93x = 9,414.72 × 9,414.72
4. Step 4: Simplify right side
   6,458.93x = 88,636,927.13
5. Step 5: Solve for x
   x = 88,636,927.13/6,458.93
6. Step 6: Final answer
   x = 13,723.15