Finding the Third Proportional to 2,517 and 3,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,517 : 3,700.50 = 3,700.50 : x
2. Step 2: Convert to fraction form
   2,517/3,700.50 = 3,700.50/x
3. Step 3: Cross multiply
   2,517x = 3,700.50 × 3,700.50
4. Step 4: Simplify right side
   2,517x = 13,693,700.25
5. Step 5: Solve for x
   x = 13,693,700.25/2,517
6. Step 6: Final answer
   x = 5,440.48