Finding the Third Proportional to 27,878 and 59,966

Step by Step Solution

1. Step 1: Write the proportion equation
   27,878 : 59,966 = 59,966 : x
2. Step 2: Convert to fraction form
   27,878/59,966 = 59,966/x
3. Step 3: Cross multiply
   27,878x = 59,966 × 59,966
4. Step 4: Simplify right side
   27,878x = 3,595,921,156
5. Step 5: Solve for x
   x = 3,595,921,156/27,878
6. Step 6: Final answer
   x = 128,987.77