Finding the Third Proportional to 2,147.50 and 4,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.50 : 4,704.50 = 4,704.50 : x
2. Step 2: Convert to fraction form
   2,147.50/4,704.50 = 4,704.50/x
3. Step 3: Cross multiply
   2,147.50x = 4,704.50 × 4,704.50
4. Step 4: Simplify right side
   2,147.50x = 22,132,320.25
5. Step 5: Solve for x
   x = 22,132,320.25/2,147.50
6. Step 6: Final answer
   x = 10,306.09