Finding the Third Proportional to 6,591.38 and 9,401.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,591.38 : 9,401.06 = 9,401.06 : x
2. Step 2: Convert to fraction form
   6,591.38/9,401.06 = 9,401.06/x
3. Step 3: Cross multiply
   6,591.38x = 9,401.06 × 9,401.06
4. Step 4: Simplify right side
   6,591.38x = 88,379,976.13
5. Step 5: Solve for x
   x = 88,379,976.13/6,591.38
6. Step 6: Final answer
   x = 13,408.43