Finding the Third Proportional to 31,818 and 71,757

Step by Step Solution

1. Step 1: Write the proportion equation
   31,818 : 71,757 = 71,757 : x
2. Step 2: Convert to fraction form
   31,818/71,757 = 71,757/x
3. Step 3: Cross multiply
   31,818x = 71,757 × 71,757
4. Step 4: Simplify right side
   31,818x = 5,149,067,049
5. Step 5: Solve for x
   x = 5,149,067,049/31,818
6. Step 6: Final answer
   x = 161,828.75