Finding the Third Proportional to 2,532.75 and 5,266.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.75 : 5,266.88 = 5,266.88 : x
2. Step 2: Convert to fraction form
   2,532.75/5,266.88 = 5,266.88/x
3. Step 3: Cross multiply
   2,532.75x = 5,266.88 × 5,266.88
4. Step 4: Simplify right side
   2,532.75x = 27,739,972.27
5. Step 5: Solve for x
   x = 27,739,972.27/2,532.75
6. Step 6: Final answer
   x = 10,952.51