Finding the Third Proportional to 937 and 1,417.25

Step by Step Solution

1. Step 1: Write the proportion equation
   937 : 1,417.25 = 1,417.25 : x
2. Step 2: Convert to fraction form
   937/1,417.25 = 1,417.25/x
3. Step 3: Cross multiply
   937x = 1,417.25 × 1,417.25
4. Step 4: Simplify right side
   937x = 2,008,597.56
5. Step 5: Solve for x
   x = 2,008,597.56/937
6. Step 6: Final answer
   x = 2,143.65