Finding the Third Proportional to 45,986 and 71,231

Step by Step Solution

1. Step 1: Write the proportion equation
   45,986 : 71,231 = 71,231 : x
2. Step 2: Convert to fraction form
   45,986/71,231 = 71,231/x
3. Step 3: Cross multiply
   45,986x = 71,231 × 71,231
4. Step 4: Simplify right side
   45,986x = 5,073,855,361
5. Step 5: Solve for x
   x = 5,073,855,361/45,986
6. Step 6: Final answer
   x = 110,334.78