Finding the Third Proportional to 2,533.50 and 5,546.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.50 : 5,546.25 = 5,546.25 : x
2. Step 2: Convert to fraction form
   2,533.50/5,546.25 = 5,546.25/x
3. Step 3: Cross multiply
   2,533.50x = 5,546.25 × 5,546.25
4. Step 4: Simplify right side
   2,533.50x = 30,760,889.06
5. Step 5: Solve for x
   x = 30,760,889.06/2,533.50
6. Step 6: Final answer
   x = 12,141.66