Finding the Third Proportional to 13,878 and 21,078

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878 : 21,078 = 21,078 : x
2. Step 2: Convert to fraction form
   13,878/21,078 = 21,078/x
3. Step 3: Cross multiply
   13,878x = 21,078 × 21,078
4. Step 4: Simplify right side
   13,878x = 444,282,084
5. Step 5: Solve for x
   x = 444,282,084/13,878
6. Step 6: Final answer
   x = 32,013.41