Finding the Third Proportional to 8,001.75 and 17,541.56

Step by Step Solution

1. Step 1: Write the proportion equation
   8,001.75 : 17,541.56 = 17,541.56 : x
2. Step 2: Convert to fraction form
   8,001.75/17,541.56 = 17,541.56/x
3. Step 3: Cross multiply
   8,001.75x = 17,541.56 × 17,541.56
4. Step 4: Simplify right side
   8,001.75x = 307,706,414.94
5. Step 5: Solve for x
   x = 307,706,414.94/8,001.75
6. Step 6: Final answer
   x = 38,454.89