Finding the Third Proportional to 6,105.38 and 13,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.38 : 13,182.75 = 13,182.75 : x
2. Step 2: Convert to fraction form
   6,105.38/13,182.75 = 13,182.75/x
3. Step 3: Cross multiply
   6,105.38x = 13,182.75 × 13,182.75
4. Step 4: Simplify right side
   6,105.38x = 173,784,897.56
5. Step 5: Solve for x
   x = 173,784,897.56/6,105.38
6. Step 6: Final answer
   x = 28,464.25