Finding the Third Proportional to 31,524 and 71,898

Step by Step Solution

1. Step 1: Write the proportion equation
   31,524 : 71,898 = 71,898 : x
2. Step 2: Convert to fraction form
   31,524/71,898 = 71,898/x
3. Step 3: Cross multiply
   31,524x = 71,898 × 71,898
4. Step 4: Simplify right side
   31,524x = 5,169,322,404
5. Step 5: Solve for x
   x = 5,169,322,404/31,524
6. Step 6: Final answer
   x = 163,980.54