Finding the Third Proportional to 1,429.31 and 2,002.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.31 : 2,002.13 = 2,002.13 : x
2. Step 2: Convert to fraction form
   1,429.31/2,002.13 = 2,002.13/x
3. Step 3: Cross multiply
   1,429.31x = 2,002.13 × 2,002.13
4. Step 4: Simplify right side
   1,429.31x = 4,008,504.52
5. Step 5: Solve for x
   x = 4,008,504.52/1,429.31
6. Step 6: Final answer
   x = 2,804.50