Finding the Third Proportional to 1,569.38 and 1,726.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.38 : 1,726.31 = 1,726.31 : x
2. Step 2: Convert to fraction form
   1,569.38/1,726.31 = 1,726.31/x
3. Step 3: Cross multiply
   1,569.38x = 1,726.31 × 1,726.31
4. Step 4: Simplify right side
   1,569.38x = 2,980,154.85
5. Step 5: Solve for x
   x = 2,980,154.85/1,569.38
6. Step 6: Final answer
   x = 1,898.94