Finding the Third Proportional to 17,785 and 41,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,785 : 41,168.50 = 41,168.50 : x
2. Step 2: Convert to fraction form
   17,785/41,168.50 = 41,168.50/x
3. Step 3: Cross multiply
   17,785x = 41,168.50 × 41,168.50
4. Step 4: Simplify right side
   17,785x = 1,694,845,392.25
5. Step 5: Solve for x
   x = 1,694,845,392.25/17,785
6. Step 6: Final answer
   x = 95,296.34