Finding the Third Proportional to 1,569 and 2,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569 : 2,429.25 = 2,429.25 : x
2. Step 2: Convert to fraction form
   1,569/2,429.25 = 2,429.25/x
3. Step 3: Cross multiply
   1,569x = 2,429.25 × 2,429.25
4. Step 4: Simplify right side
   1,569x = 5,901,255.56
5. Step 5: Solve for x
   x = 5,901,255.56/1,569
6. Step 6: Final answer
   x = 3,761.16