Finding the Third Proportional to 1,567 and 3,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567 : 3,704.50 = 3,704.50 : x
2. Step 2: Convert to fraction form
   1,567/3,704.50 = 3,704.50/x
3. Step 3: Cross multiply
   1,567x = 3,704.50 × 3,704.50
4. Step 4: Simplify right side
   1,567x = 13,723,320.25
5. Step 5: Solve for x
   x = 13,723,320.25/1,567
6. Step 6: Final answer
   x = 8,757.70