Finding the Third Proportional to 6,745.78 and 14,878.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,745.78 : 14,878.69 = 14,878.69 : x
2. Step 2: Convert to fraction form
   6,745.78/14,878.69 = 14,878.69/x
3. Step 3: Cross multiply
   6,745.78x = 14,878.69 × 14,878.69
4. Step 4: Simplify right side
   6,745.78x = 221,375,341.72
5. Step 5: Solve for x
   x = 221,375,341.72/6,745.78
6. Step 6: Final answer
   x = 32,816.86