Finding the Third Proportional to 2,533 and 5,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533 : 5,444.50 = 5,444.50 : x
2. Step 2: Convert to fraction form
   2,533/5,444.50 = 5,444.50/x
3. Step 3: Cross multiply
   2,533x = 5,444.50 × 5,444.50
4. Step 4: Simplify right side
   2,533x = 29,642,580.25
5. Step 5: Solve for x
   x = 29,642,580.25/2,533
6. Step 6: Final answer
   x = 11,702.56