Finding the Third Proportional to 46,142 and 72,286

Step by Step Solution

1. Step 1: Write the proportion equation
   46,142 : 72,286 = 72,286 : x
2. Step 2: Convert to fraction form
   46,142/72,286 = 72,286/x
3. Step 3: Cross multiply
   46,142x = 72,286 × 72,286
4. Step 4: Simplify right side
   46,142x = 5,225,265,796
5. Step 5: Solve for x
   x = 5,225,265,796/46,142
6. Step 6: Final answer
   x = 113,243.16