Finding the Third Proportional to 22,878 and 48,054

Step by Step Solution

1. Step 1: Write the proportion equation
   22,878 : 48,054 = 48,054 : x
2. Step 2: Convert to fraction form
   22,878/48,054 = 48,054/x
3. Step 3: Cross multiply
   22,878x = 48,054 × 48,054
4. Step 4: Simplify right side
   22,878x = 2,309,186,916
5. Step 5: Solve for x
   x = 2,309,186,916/22,878
6. Step 6: Final answer
   x = 100,934.82