Finding the Third Proportional to 1,417.75 and 2,189.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.75 : 2,189.38 = 2,189.38 : x
2. Step 2: Convert to fraction form
   1,417.75/2,189.38 = 2,189.38/x
3. Step 3: Cross multiply
   1,417.75x = 2,189.38 × 2,189.38
4. Step 4: Simplify right side
   1,417.75x = 4,793,362.89
5. Step 5: Solve for x
   x = 4,793,362.89/1,417.75
6. Step 6: Final answer
   x = 3,380.96