Finding the Third Proportional to 5,745.50 and 8,878.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,745.50 : 8,878.75 = 8,878.75 : x
2. Step 2: Convert to fraction form
   5,745.50/8,878.75 = 8,878.75/x
3. Step 3: Cross multiply
   5,745.50x = 8,878.75 × 8,878.75
4. Step 4: Simplify right side
   5,745.50x = 78,832,201.56
5. Step 5: Solve for x
   x = 78,832,201.56/5,745.50
6. Step 6: Final answer
   x = 13,720.69