Finding the Third Proportional to 31,876 and 65,160

Step by Step Solution

1. Step 1: Write the proportion equation
   31,876 : 65,160 = 65,160 : x
2. Step 2: Convert to fraction form
   31,876/65,160 = 65,160/x
3. Step 3: Cross multiply
   31,876x = 65,160 × 65,160
4. Step 4: Simplify right side
   31,876x = 4,245,825,600
5. Step 5: Solve for x
   x = 4,245,825,600/31,876
6. Step 6: Final answer
   x = 133,198.19