Finding the Third Proportional to 667.50 and 1,037.38

Step by Step Solution

1. Step 1: Write the proportion equation
   667.50 : 1,037.38 = 1,037.38 : x
2. Step 2: Convert to fraction form
   667.50/1,037.38 = 1,037.38/x
3. Step 3: Cross multiply
   667.50x = 1,037.38 × 1,037.38
4. Step 4: Simplify right side
   667.50x = 1,076,146.89
5. Step 5: Solve for x
   x = 1,076,146.89/667.50
6. Step 6: Final answer
   x = 1,612.21