Finding the Third Proportional to 467.75 and 1,026.69

Step by Step Solution

1. Step 1: Write the proportion equation
   467.75 : 1,026.69 = 1,026.69 : x
2. Step 2: Convert to fraction form
   467.75/1,026.69 = 1,026.69/x
3. Step 3: Cross multiply
   467.75x = 1,026.69 × 1,026.69
4. Step 4: Simplify right side
   467.75x = 1,054,087.22
5. Step 5: Solve for x
   x = 1,054,087.22/467.75
6. Step 6: Final answer
   x = 2,253.53