Finding the Third Proportional to 647.50 and 1,033

Step by Step Solution

1. Step 1: Write the proportion equation
   647.50 : 1,033 = 1,033 : x
2. Step 2: Convert to fraction form
   647.50/1,033 = 1,033/x
3. Step 3: Cross multiply
   647.50x = 1,033 × 1,033
4. Step 4: Simplify right side
   647.50x = 1,067,089
5. Step 5: Solve for x
   x = 1,067,089/647.50
6. Step 6: Final answer
   x = 1,648.01