Finding the Third Proportional to 1,037.50 and 1,607

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.50 : 1,607 = 1,607 : x
2. Step 2: Convert to fraction form
   1,037.50/1,607 = 1,607/x
3. Step 3: Cross multiply
   1,037.50x = 1,607 × 1,607
4. Step 4: Simplify right side
   1,037.50x = 2,582,449
5. Step 5: Solve for x
   x = 2,582,449/1,037.50
6. Step 6: Final answer
   x = 2,489.11