Finding the Third Proportional to 1,035 and 1,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,035 : 1,417.50 = 1,417.50 : x
2. Step 2: Convert to fraction form
   1,035/1,417.50 = 1,417.50/x
3. Step 3: Cross multiply
   1,035x = 1,417.50 × 1,417.50
4. Step 4: Simplify right side
   1,035x = 2,009,306.25
5. Step 5: Solve for x
   x = 2,009,306.25/1,035
6. Step 6: Final answer
   x = 1,941.36