Finding the Third Proportional to 22,878 and 34,224

Step by Step Solution

1. Step 1: Write the proportion equation
   22,878 : 34,224 = 34,224 : x
2. Step 2: Convert to fraction form
   22,878/34,224 = 34,224/x
3. Step 3: Cross multiply
   22,878x = 34,224 × 34,224
4. Step 4: Simplify right side
   22,878x = 1,171,282,176
5. Step 5: Solve for x
   x = 1,171,282,176/22,878
6. Step 6: Final answer
   x = 51,196.88