Finding the Third Proportional to 12,846 and 27,878

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846 : 27,878 = 27,878 : x
2. Step 2: Convert to fraction form
   12,846/27,878 = 27,878/x
3. Step 3: Cross multiply
   12,846x = 27,878 × 27,878
4. Step 4: Simplify right side
   12,846x = 777,182,884
5. Step 5: Solve for x
   x = 777,182,884/12,846
6. Step 6: Final answer
   x = 60,499.99