Finding the Third Proportional to 6,145.88 and 8,182.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,145.88 : 8,182.27 = 8,182.27 : x
2. Step 2: Convert to fraction form
   6,145.88/8,182.27 = 8,182.27/x
3. Step 3: Cross multiply
   6,145.88x = 8,182.27 × 8,182.27
4. Step 4: Simplify right side
   6,145.88x = 66,949,470.76
5. Step 5: Solve for x
   x = 66,949,470.76/6,145.88
6. Step 6: Final answer
   x = 10,893.40