Finding the Third Proportional to 13,878 and 30,078

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878 : 30,078 = 30,078 : x
2. Step 2: Convert to fraction form
   13,878/30,078 = 30,078/x
3. Step 3: Cross multiply
   13,878x = 30,078 × 30,078
4. Step 4: Simplify right side
   13,878x = 904,686,084
5. Step 5: Solve for x
   x = 904,686,084/13,878
6. Step 6: Final answer
   x = 65,188.51