Finding the Third Proportional to 1,037.50 and 1,560.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.50 : 1,560.52 = 1,560.52 : x
2. Step 2: Convert to fraction form
   1,037.50/1,560.52 = 1,560.52/x
3. Step 3: Cross multiply
   1,037.50x = 1,560.52 × 1,560.52
4. Step 4: Simplify right side
   1,037.50x = 2,435,209.02
5. Step 5: Solve for x
   x = 2,435,209.02/1,037.50
6. Step 6: Final answer
   x = 2,347.20