Finding the Third Proportional to 2,532.50 and 5,266

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.50 : 5,266 = 5,266 : x
2. Step 2: Convert to fraction form
   2,532.50/5,266 = 5,266/x
3. Step 3: Cross multiply
   2,532.50x = 5,266 × 5,266
4. Step 4: Simplify right side
   2,532.50x = 27,730,756
5. Step 5: Solve for x
   x = 27,730,756/2,532.50
6. Step 6: Final answer
   x = 10,949.95