Finding the Third Proportional to 1,006.75 and 1,465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.75 : 1,465.25 = 1,465.25 : x
2. Step 2: Convert to fraction form
   1,006.75/1,465.25 = 1,465.25/x
3. Step 3: Cross multiply
   1,006.75x = 1,465.25 × 1,465.25
4. Step 4: Simplify right side
   1,006.75x = 2,146,957.56
5. Step 5: Solve for x
   x = 2,146,957.56/1,006.75
6. Step 6: Final answer
   x = 2,132.56