Finding the Third Proportional to 1,417.50 and 2,078.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.50 : 2,078.16 = 2,078.16 : x
2. Step 2: Convert to fraction form
   1,417.50/2,078.16 = 2,078.16/x
3. Step 3: Cross multiply
   1,417.50x = 2,078.16 × 2,078.16
4. Step 4: Simplify right side
   1,417.50x = 4,318,733.40
5. Step 5: Solve for x
   x = 4,318,733.40/1,417.50
6. Step 6: Final answer
   x = 3,046.73