Finding the Third Proportional to 1,569 and 2,437.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569 : 2,437.38 = 2,437.38 : x
2. Step 2: Convert to fraction form
   1,569/2,437.38 = 2,437.38/x
3. Step 3: Cross multiply
   1,569x = 2,437.38 × 2,437.38
4. Step 4: Simplify right side
   1,569x = 5,940,796.89
5. Step 5: Solve for x
   x = 5,940,796.89/1,569
6. Step 6: Final answer
   x = 3,786.36