Finding the Third Proportional to 592 and 1,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   592 : 1,261.50 = 1,261.50 : x
2. Step 2: Convert to fraction form
   592/1,261.50 = 1,261.50/x
3. Step 3: Cross multiply
   592x = 1,261.50 × 1,261.50
4. Step 4: Simplify right side
   592x = 1,591,382.25
5. Step 5: Solve for x
   x = 1,591,382.25/592
6. Step 6: Final answer
   x = 2,688.15