Finding the Third Proportional to 880 and 1,362.25

Step by Step Solution

1. Step 1: Write the proportion equation
   880 : 1,362.25 = 1,362.25 : x
2. Step 2: Convert to fraction form
   880/1,362.25 = 1,362.25/x
3. Step 3: Cross multiply
   880x = 1,362.25 × 1,362.25
4. Step 4: Simplify right side
   880x = 1,855,725.06
5. Step 5: Solve for x
   x = 1,855,725.06/880
6. Step 6: Final answer
   x = 2,108.78