Finding the Third Proportional to 5,541.75 and 12,006.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,541.75 : 12,006.56 = 12,006.56 : x
2. Step 2: Convert to fraction form
   5,541.75/12,006.56 = 12,006.56/x
3. Step 3: Cross multiply
   5,541.75x = 12,006.56 × 12,006.56
4. Step 4: Simplify right side
   5,541.75x = 144,157,543.07
5. Step 5: Solve for x
   x = 144,157,543.07/5,541.75
6. Step 6: Final answer
   x = 26,013.00