Finding the Third Proportional to 6,274.69 and 9,412.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,274.69 : 9,412.31 = 9,412.31 : x
2. Step 2: Convert to fraction form
   6,274.69/9,412.31 = 9,412.31/x
3. Step 3: Cross multiply
   6,274.69x = 9,412.31 × 9,412.31
4. Step 4: Simplify right side
   6,274.69x = 88,591,626.60
5. Step 5: Solve for x
   x = 88,591,626.60/6,274.69
6. Step 6: Final answer
   x = 14,118.89