Finding the Third Proportional to 6,142.71 and 9,741.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.71 : 9,741.83 = 9,741.83 : x
2. Step 2: Convert to fraction form
   6,142.71/9,741.83 = 9,741.83/x
3. Step 3: Cross multiply
   6,142.71x = 9,741.83 × 9,741.83
4. Step 4: Simplify right side
   6,142.71x = 94,903,291.33
5. Step 5: Solve for x
   x = 94,903,291.33/6,142.71
6. Step 6: Final answer
   x = 15,449.74