Finding the Third Proportional to 13,162 and 31,471

Step by Step Solution

1. Step 1: Write the proportion equation
   13,162 : 31,471 = 31,471 : x
2. Step 2: Convert to fraction form
   13,162/31,471 = 31,471/x
3. Step 3: Cross multiply
   13,162x = 31,471 × 31,471
4. Step 4: Simplify right side
   13,162x = 990,423,841
5. Step 5: Solve for x
   x = 990,423,841/13,162
6. Step 6: Final answer
   x = 75,248.73