Finding the Third Proportional to 17,742 and 31,110

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 31,110 = 31,110 : x
2. Step 2: Convert to fraction form
   17,742/31,110 = 31,110/x
3. Step 3: Cross multiply
   17,742x = 31,110 × 31,110
4. Step 4: Simplify right side
   17,742x = 967,832,100
5. Step 5: Solve for x
   x = 967,832,100/17,742
6. Step 6: Final answer
   x = 54,550.34