Finding the Third Proportional to 2,525 and 3,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,525 : 3,557.50 = 3,557.50 : x
2. Step 2: Convert to fraction form
   2,525/3,557.50 = 3,557.50/x
3. Step 3: Cross multiply
   2,525x = 3,557.50 × 3,557.50
4. Step 4: Simplify right side
   2,525x = 12,655,806.25
5. Step 5: Solve for x
   x = 12,655,806.25/2,525
6. Step 6: Final answer
   x = 5,012.20