Finding the Third Proportional to 27,746 and 61,147.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,746 : 61,147.25 = 61,147.25 : x
2. Step 2: Convert to fraction form
   27,746/61,147.25 = 61,147.25/x
3. Step 3: Cross multiply
   27,746x = 61,147.25 × 61,147.25
4. Step 4: Simplify right side
   27,746x = 3,738,986,182.56
5. Step 5: Solve for x
   x = 3,738,986,182.56/27,746
6. Step 6: Final answer
   x = 134,757.67