Finding the Third Proportional to 1,407.19 and 2,414.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.19 : 2,414.53 = 2,414.53 : x
2. Step 2: Convert to fraction form
   1,407.19/2,414.53 = 2,414.53/x
3. Step 3: Cross multiply
   1,407.19x = 2,414.53 × 2,414.53
4. Step 4: Simplify right side
   1,407.19x = 5,829,961.16
5. Step 5: Solve for x
   x = 5,829,961.16/1,407.19
6. Step 6: Final answer
   x = 4,142.99