Finding the Third Proportional to 17,863.31 and 38,185.88

Step by Step Solution

1. Step 1: Write the proportion equation
   17,863.31 : 38,185.88 = 38,185.88 : x
2. Step 2: Convert to fraction form
   17,863.31/38,185.88 = 38,185.88/x
3. Step 3: Cross multiply
   17,863.31x = 38,185.88 × 38,185.88
4. Step 4: Simplify right side
   17,863.31x = 1,458,161,049.52
5. Step 5: Solve for x
   x = 1,458,161,049.52/17,863.31
6. Step 6: Final answer
   x = 81,628.82