Finding the Third Proportional to 462.25 and 1,089.25

Step by Step Solution

1. Step 1: Write the proportion equation
   462.25 : 1,089.25 = 1,089.25 : x
2. Step 2: Convert to fraction form
   462.25/1,089.25 = 1,089.25/x
3. Step 3: Cross multiply
   462.25x = 1,089.25 × 1,089.25
4. Step 4: Simplify right side
   462.25x = 1,186,465.56
5. Step 5: Solve for x
   x = 1,186,465.56/462.25
6. Step 6: Final answer
   x = 2,566.72