Finding the Third Proportional to 675.50 and 1,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   675.50 : 1,037.50 = 1,037.50 : x
2. Step 2: Convert to fraction form
   675.50/1,037.50 = 1,037.50/x
3. Step 3: Cross multiply
   675.50x = 1,037.50 × 1,037.50
4. Step 4: Simplify right side
   675.50x = 1,076,406.25
5. Step 5: Solve for x
   x = 1,076,406.25/675.50
6. Step 6: Final answer
   x = 1,593.50