Finding the Third Proportional to 1,037 and 1,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037 : 1,301.50 = 1,301.50 : x
2. Step 2: Convert to fraction form
   1,037/1,301.50 = 1,301.50/x
3. Step 3: Cross multiply
   1,037x = 1,301.50 × 1,301.50
4. Step 4: Simplify right side
   1,037x = 1,693,902.25
5. Step 5: Solve for x
   x = 1,693,902.25/1,037
6. Step 6: Final answer
   x = 1,633.46