Finding the Third Proportional to 27,878 and 61,300

Step by Step Solution

1. Step 1: Write the proportion equation
   27,878 : 61,300 = 61,300 : x
2. Step 2: Convert to fraction form
   27,878/61,300 = 61,300/x
3. Step 3: Cross multiply
   27,878x = 61,300 × 61,300
4. Step 4: Simplify right side
   27,878x = 3,757,690,000
5. Step 5: Solve for x
   x = 3,757,690,000/27,878
6. Step 6: Final answer
   x = 134,790.52