Finding the Third Proportional to 2,532 and 5,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532 : 5,442.50 = 5,442.50 : x
2. Step 2: Convert to fraction form
   2,532/5,442.50 = 5,442.50/x
3. Step 3: Cross multiply
   2,532x = 5,442.50 × 5,442.50
4. Step 4: Simplify right side
   2,532x = 29,620,806.25
5. Step 5: Solve for x
   x = 29,620,806.25/2,532
6. Step 6: Final answer
   x = 11,698.58