Finding the Third Proportional to 2,616 and 3,925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,616 : 3,925.50 = 3,925.50 : x
2. Step 2: Convert to fraction form
   2,616/3,925.50 = 3,925.50/x
3. Step 3: Cross multiply
   2,616x = 3,925.50 × 3,925.50
4. Step 4: Simplify right side
   2,616x = 15,409,550.25
5. Step 5: Solve for x
   x = 15,409,550.25/2,616
6. Step 6: Final answer
   x = 5,890.50