Finding the Third Proportional to 30,844 and 65,896

Step by Step Solution

1. Step 1: Write the proportion equation
   30,844 : 65,896 = 65,896 : x
2. Step 2: Convert to fraction form
   30,844/65,896 = 65,896/x
3. Step 3: Cross multiply
   30,844x = 65,896 × 65,896
4. Step 4: Simplify right side
   30,844x = 4,342,282,816
5. Step 5: Solve for x
   x = 4,342,282,816/30,844
6. Step 6: Final answer
   x = 140,782.09