Finding the Third Proportional to 592 and 1,264.25

Step by Step Solution

1. Step 1: Write the proportion equation
   592 : 1,264.25 = 1,264.25 : x
2. Step 2: Convert to fraction form
   592/1,264.25 = 1,264.25/x
3. Step 3: Cross multiply
   592x = 1,264.25 × 1,264.25
4. Step 4: Simplify right side
   592x = 1,598,328.06
5. Step 5: Solve for x
   x = 1,598,328.06/592
6. Step 6: Final answer
   x = 2,699.88