Finding the Third Proportional to 17,538.75 and 27,227.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.75 : 27,227.25 = 27,227.25 : x
2. Step 2: Convert to fraction form
   17,538.75/27,227.25 = 27,227.25/x
3. Step 3: Cross multiply
   17,538.75x = 27,227.25 × 27,227.25
4. Step 4: Simplify right side
   17,538.75x = 741,323,142.56
5. Step 5: Solve for x
   x = 741,323,142.56/17,538.75
6. Step 6: Final answer
   x = 42,267.73