Finding the Third Proportional to 8,141.63 and 17,741.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,141.63 : 17,741.25 = 17,741.25 : x
2. Step 2: Convert to fraction form
   8,141.63/17,741.25 = 17,741.25/x
3. Step 3: Cross multiply
   8,141.63x = 17,741.25 × 17,741.25
4. Step 4: Simplify right side
   8,141.63x = 314,751,951.56
5. Step 5: Solve for x
   x = 314,751,951.56/8,141.63
6. Step 6: Final answer
   x = 38,659.60