Finding the Third Proportional to 1,029.38 and 2,357.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.38 : 2,357.02 = 2,357.02 : x
2. Step 2: Convert to fraction form
   1,029.38/2,357.02 = 2,357.02/x
3. Step 3: Cross multiply
   1,029.38x = 2,357.02 × 2,357.02
4. Step 4: Simplify right side
   1,029.38x = 5,555,522.66
5. Step 5: Solve for x
   x = 5,555,522.66/1,029.38
6. Step 6: Final answer
   x = 5,396.99