Finding the Third Proportional to 30,791 and 65,794

Step by Step Solution

1. Step 1: Write the proportion equation
   30,791 : 65,794 = 65,794 : x
2. Step 2: Convert to fraction form
   30,791/65,794 = 65,794/x
3. Step 3: Cross multiply
   30,791x = 65,794 × 65,794
4. Step 4: Simplify right side
   30,791x = 4,328,850,436
5. Step 5: Solve for x
   x = 4,328,850,436/30,791
6. Step 6: Final answer
   x = 140,588.17