Finding the Third Proportional to 535.20 and 1,167.72

Step by Step Solution

1. Step 1: Write the proportion equation
   535.20 : 1,167.72 = 1,167.72 : x
2. Step 2: Convert to fraction form
   535.20/1,167.72 = 1,167.72/x
3. Step 3: Cross multiply
   535.20x = 1,167.72 × 1,167.72
4. Step 4: Simplify right side
   535.20x = 1,363,563.09
5. Step 5: Solve for x
   x = 1,363,563.09/535.20
6. Step 6: Final answer
   x = 2,547.75