Finding the Third Proportional to 1,029.69 and 2,428.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.69 : 2,428.42 = 2,428.42 : x
2. Step 2: Convert to fraction form
   1,029.69/2,428.42 = 2,428.42/x
3. Step 3: Cross multiply
   1,029.69x = 2,428.42 × 2,428.42
4. Step 4: Simplify right side
   1,029.69x = 5,897,213.83
5. Step 5: Solve for x
   x = 5,897,213.83/1,029.69
6. Step 6: Final answer
   x = 5,727.17