Finding the Third Proportional to 14,846 and 23,878

Step by Step Solution

1. Step 1: Write the proportion equation
   14,846 : 23,878 = 23,878 : x
2. Step 2: Convert to fraction form
   14,846/23,878 = 23,878/x
3. Step 3: Cross multiply
   14,846x = 23,878 × 23,878
4. Step 4: Simplify right side
   14,846x = 570,158,884
5. Step 5: Solve for x
   x = 570,158,884/14,846
6. Step 6: Final answer
   x = 38,404.88