Finding the Third Proportional to 592.25 and 1,288.25

Step by Step Solution

1. Step 1: Write the proportion equation
   592.25 : 1,288.25 = 1,288.25 : x
2. Step 2: Convert to fraction form
   592.25/1,288.25 = 1,288.25/x
3. Step 3: Cross multiply
   592.25x = 1,288.25 × 1,288.25
4. Step 4: Simplify right side
   592.25x = 1,659,588.06
5. Step 5: Solve for x
   x = 1,659,588.06/592.25
6. Step 6: Final answer
   x = 2,802.17