Finding the Third Proportional to 469.69 and 1,026.28

Step by Step Solution

1. Step 1: Write the proportion equation
   469.69 : 1,026.28 = 1,026.28 : x
2. Step 2: Convert to fraction form
   469.69/1,026.28 = 1,026.28/x
3. Step 3: Cross multiply
   469.69x = 1,026.28 × 1,026.28
4. Step 4: Simplify right side
   469.69x = 1,053,253.20
5. Step 5: Solve for x
   x = 1,053,253.20/469.69
6. Step 6: Final answer
   x = 2,242.46