Finding the Third Proportional to 1,002.94 and 1,398.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.94 : 1,398.09 = 1,398.09 : x
2. Step 2: Convert to fraction form
   1,002.94/1,398.09 = 1,398.09/x
3. Step 3: Cross multiply
   1,002.94x = 1,398.09 × 1,398.09
4. Step 4: Simplify right side
   1,002.94x = 1,954,666.13
5. Step 5: Solve for x
   x = 1,954,666.13/1,002.94
6. Step 6: Final answer
   x = 1,948.94