Finding the Third Proportional to 1,527.75 and 3,179.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.75 : 3,179.25 = 3,179.25 : x
2. Step 2: Convert to fraction form
   1,527.75/3,179.25 = 3,179.25/x
3. Step 3: Cross multiply
   1,527.75x = 3,179.25 × 3,179.25
4. Step 4: Simplify right side
   1,527.75x = 10,107,630.56
5. Step 5: Solve for x
   x = 10,107,630.56/1,527.75
6. Step 6: Final answer
   x = 6,616.02