Finding the Third Proportional to 27,747 and 61,150

Step by Step Solution

1. Step 1: Write the proportion equation
   27,747 : 61,150 = 61,150 : x
2. Step 2: Convert to fraction form
   27,747/61,150 = 61,150/x
3. Step 3: Cross multiply
   27,747x = 61,150 × 61,150
4. Step 4: Simplify right side
   27,747x = 3,739,322,500
5. Step 5: Solve for x
   x = 3,739,322,500/27,747
6. Step 6: Final answer
   x = 134,764.93