Finding the Third Proportional to 17,853.75 and 39,227.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,853.75 : 39,227.63 = 39,227.63 : x
2. Step 2: Convert to fraction form
   17,853.75/39,227.63 = 39,227.63/x
3. Step 3: Cross multiply
   17,853.75x = 39,227.63 × 39,227.63
4. Step 4: Simplify right side
   17,853.75x = 1,538,806,563.14
5. Step 5: Solve for x
   x = 1,538,806,563.14/17,853.75
6. Step 6: Final answer
   x = 86,189.54