Finding the Third Proportional to 4,147.50 and 5,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,147.50 : 5,777.25 = 5,777.25 : x
2. Step 2: Convert to fraction form
   4,147.50/5,777.25 = 5,777.25/x
3. Step 3: Cross multiply
   4,147.50x = 5,777.25 × 5,777.25
4. Step 4: Simplify right side
   4,147.50x = 33,376,617.56
5. Step 5: Solve for x
   x = 33,376,617.56/4,147.50
6. Step 6: Final answer
   x = 8,047.41