Finding the Third Proportional to 6,140.81 and 9,241.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,140.81 : 9,241.59 = 9,241.59 : x
2. Step 2: Convert to fraction form
   6,140.81/9,241.59 = 9,241.59/x
3. Step 3: Cross multiply
   6,140.81x = 9,241.59 × 9,241.59
4. Step 4: Simplify right side
   6,140.81x = 85,407,055.04
5. Step 5: Solve for x
   x = 85,407,055.04/6,140.81
6. Step 6: Final answer
   x = 13,908.10