Finding the Third Proportional to 27,926 and 65,872

Step by Step Solution

1. Step 1: Write the proportion equation
   27,926 : 65,872 = 65,872 : x
2. Step 2: Convert to fraction form
   27,926/65,872 = 65,872/x
3. Step 3: Cross multiply
   27,926x = 65,872 × 65,872
4. Step 4: Simplify right side
   27,926x = 4,339,120,384
5. Step 5: Solve for x
   x = 4,339,120,384/27,926
6. Step 6: Final answer
   x = 155,379.23