Finding the Third Proportional to 3,745.75 and 8,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,745.75 : 8,139.50 = 8,139.50 : x
2. Step 2: Convert to fraction form
   3,745.75/8,139.50 = 8,139.50/x
3. Step 3: Cross multiply
   3,745.75x = 8,139.50 × 8,139.50
4. Step 4: Simplify right side
   3,745.75x = 66,251,460.25
5. Step 5: Solve for x
   x = 66,251,460.25/3,745.75
6. Step 6: Final answer
   x = 17,687.10