Finding the Third Proportional to 46,243 and 71,742

Step by Step Solution

1. Step 1: Write the proportion equation
   46,243 : 71,742 = 71,742 : x
2. Step 2: Convert to fraction form
   46,243/71,742 = 71,742/x
3. Step 3: Cross multiply
   46,243x = 71,742 × 71,742
4. Step 4: Simplify right side
   46,243x = 5,146,914,564
5. Step 5: Solve for x
   x = 5,146,914,564/46,243
6. Step 6: Final answer
   x = 111,301.48