Finding the Third Proportional to 1,065.38 and 1,567.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.38 : 1,567.31 = 1,567.31 : x
2. Step 2: Convert to fraction form
   1,065.38/1,567.31 = 1,567.31/x
3. Step 3: Cross multiply
   1,065.38x = 1,567.31 × 1,567.31
4. Step 4: Simplify right side
   1,065.38x = 2,456,468.47
5. Step 5: Solve for x
   x = 2,456,468.47/1,065.38
6. Step 6: Final answer
   x = 2,305.73