Finding the Third Proportional to 17,742 and 41,815

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 41,815 = 41,815 : x
2. Step 2: Convert to fraction form
   17,742/41,815 = 41,815/x
3. Step 3: Cross multiply
   17,742x = 41,815 × 41,815
4. Step 4: Simplify right side
   17,742x = 1,748,494,225
5. Step 5: Solve for x
   x = 1,748,494,225/17,742
6. Step 6: Final answer
   x = 98,551.13