Finding the Third Proportional to 6,338.25 and 9,223.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338.25 : 9,223.88 = 9,223.88 : x
2. Step 2: Convert to fraction form
   6,338.25/9,223.88 = 9,223.88/x
3. Step 3: Cross multiply
   6,338.25x = 9,223.88 × 9,223.88
4. Step 4: Simplify right side
   6,338.25x = 85,079,870.02
5. Step 5: Solve for x
   x = 85,079,870.02/6,338.25
6. Step 6: Final answer
   x = 13,423.24