Finding the Third Proportional to 1,569.38 and 3,411.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.38 : 3,411.28 = 3,411.28 : x
2. Step 2: Convert to fraction form
   1,569.38/3,411.28 = 3,411.28/x
3. Step 3: Cross multiply
   1,569.38x = 3,411.28 × 3,411.28
4. Step 4: Simplify right side
   1,569.38x = 11,636,839.77
5. Step 5: Solve for x
   x = 11,636,839.77/1,569.38
6. Step 6: Final answer
   x = 7,414.95