Finding the Third Proportional to 1,002.45 and 2,414.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.45 : 2,414.99 = 2,414.99 : x
2. Step 2: Convert to fraction form
   1,002.45/2,414.99 = 2,414.99/x
3. Step 3: Cross multiply
   1,002.45x = 2,414.99 × 2,414.99
4. Step 4: Simplify right side
   1,002.45x = 5,832,168.40
5. Step 5: Solve for x
   x = 5,832,168.40/1,002.45
6. Step 6: Final answer
   x = 5,817.94