Finding the Third Proportional to 1,006.50 and 1,328.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.50 : 1,328.25 = 1,328.25 : x
2. Step 2: Convert to fraction form
   1,006.50/1,328.25 = 1,328.25/x
3. Step 3: Cross multiply
   1,006.50x = 1,328.25 × 1,328.25
4. Step 4: Simplify right side
   1,006.50x = 1,764,248.06
5. Step 5: Solve for x
   x = 1,764,248.06/1,006.50
6. Step 6: Final answer
   x = 1,752.85