Finding the Third Proportional to 1,392.50 and 2,165.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,392.50 : 2,165.17 = 2,165.17 : x
2. Step 2: Convert to fraction form
   1,392.50/2,165.17 = 2,165.17/x
3. Step 3: Cross multiply
   1,392.50x = 2,165.17 × 2,165.17
4. Step 4: Simplify right side
   1,392.50x = 4,687,952.33
5. Step 5: Solve for x
   x = 4,687,952.33/1,392.50
6. Step 6: Final answer
   x = 3,366.56