Finding the Third Proportional to 42,779 and 65,838

Step by Step Solution

1. Step 1: Write the proportion equation
   42,779 : 65,838 = 65,838 : x
2. Step 2: Convert to fraction form
   42,779/65,838 = 65,838/x
3. Step 3: Cross multiply
   42,779x = 65,838 × 65,838
4. Step 4: Simplify right side
   42,779x = 4,334,642,244
5. Step 5: Solve for x
   x = 4,334,642,244/42,779
6. Step 6: Final answer
   x = 101,326.40