Finding the Third Proportional to 32,874 and 69,843

Step by Step Solution

1. Step 1: Write the proportion equation
   32,874 : 69,843 = 69,843 : x
2. Step 2: Convert to fraction form
   32,874/69,843 = 69,843/x
3. Step 3: Cross multiply
   32,874x = 69,843 × 69,843
4. Step 4: Simplify right side
   32,874x = 4,878,044,649
5. Step 5: Solve for x
   x = 4,878,044,649/32,874
6. Step 6: Final answer
   x = 148,386.10