Finding the Third Proportional to 1,026.94 and 1,567.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.94 : 1,567.03 = 1,567.03 : x
2. Step 2: Convert to fraction form
   1,026.94/1,567.03 = 1,567.03/x
3. Step 3: Cross multiply
   1,026.94x = 1,567.03 × 1,567.03
4. Step 4: Simplify right side
   1,026.94x = 2,455,586.94
5. Step 5: Solve for x
   x = 2,455,586.94/1,026.94
6. Step 6: Final answer
   x = 2,391.17