Finding the Third Proportional to 27,746 and 61,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,746 : 61,147.50 = 61,147.50 : x
2. Step 2: Convert to fraction form
   27,746/61,147.50 = 61,147.50/x
3. Step 3: Cross multiply
   27,746x = 61,147.50 × 61,147.50
4. Step 4: Simplify right side
   27,746x = 3,739,016,756.25
5. Step 5: Solve for x
   x = 3,739,016,756.25/27,746
6. Step 6: Final answer
   x = 134,758.77