Finding the Third Proportional to 34,878 and 52,179

Step by Step Solution

1. Step 1: Write the proportion equation
   34,878 : 52,179 = 52,179 : x
2. Step 2: Convert to fraction form
   34,878/52,179 = 52,179/x
3. Step 3: Cross multiply
   34,878x = 52,179 × 52,179
4. Step 4: Simplify right side
   34,878x = 2,722,648,041
5. Step 5: Solve for x
   x = 2,722,648,041/34,878
6. Step 6: Final answer
   x = 78,062.05