Finding the Third Proportional to 31,876 and 65,817

Step by Step Solution

1. Step 1: Write the proportion equation
   31,876 : 65,817 = 65,817 : x
2. Step 2: Convert to fraction form
   31,876/65,817 = 65,817/x
3. Step 3: Cross multiply
   31,876x = 65,817 × 65,817
4. Step 4: Simplify right side
   31,876x = 4,331,877,489
5. Step 5: Solve for x
   x = 4,331,877,489/31,876
6. Step 6: Final answer
   x = 135,897.78