Finding the Third Proportional to 1,569.38 and 3,727.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.38 : 3,727.69 = 3,727.69 : x
2. Step 2: Convert to fraction form
   1,569.38/3,727.69 = 3,727.69/x
3. Step 3: Cross multiply
   1,569.38x = 3,727.69 × 3,727.69
4. Step 4: Simplify right side
   1,569.38x = 13,895,654.10
5. Step 5: Solve for x
   x = 13,895,654.10/1,569.38
6. Step 6: Final answer
   x = 8,854.26