Finding the Third Proportional to 3,713 and 5,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,713 : 5,709.50 = 5,709.50 : x
2. Step 2: Convert to fraction form
   3,713/5,709.50 = 5,709.50/x
3. Step 3: Cross multiply
   3,713x = 5,709.50 × 5,709.50
4. Step 4: Simplify right side
   3,713x = 32,598,390.25
5. Step 5: Solve for x
   x = 32,598,390.25/3,713
6. Step 6: Final answer
   x = 8,779.53