Finding the Third Proportional to 474 and 1,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   474 : 1,005.25 = 1,005.25 : x
2. Step 2: Convert to fraction form
   474/1,005.25 = 1,005.25/x
3. Step 3: Cross multiply
   474x = 1,005.25 × 1,005.25
4. Step 4: Simplify right side
   474x = 1,010,527.56
5. Step 5: Solve for x
   x = 1,010,527.56/474
6. Step 6: Final answer
   x = 2,131.91