Finding the Third Proportional to 3,702 and 5,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,702 : 5,155.50 = 5,155.50 : x
2. Step 2: Convert to fraction form
   3,702/5,155.50 = 5,155.50/x
3. Step 3: Cross multiply
   3,702x = 5,155.50 × 5,155.50
4. Step 4: Simplify right side
   3,702x = 26,579,180.25
5. Step 5: Solve for x
   x = 26,579,180.25/3,702
6. Step 6: Final answer
   x = 7,179.68