Finding the Third Proportional to 31,886 and 65,068

Step by Step Solution

1. Step 1: Write the proportion equation
   31,886 : 65,068 = 65,068 : x
2. Step 2: Convert to fraction form
   31,886/65,068 = 65,068/x
3. Step 3: Cross multiply
   31,886x = 65,068 × 65,068
4. Step 4: Simplify right side
   31,886x = 4,233,844,624
5. Step 5: Solve for x
   x = 4,233,844,624/31,886
6. Step 6: Final answer
   x = 132,780.68