Finding the Third Proportional to 5,711.75 and 13,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,711.75 : 13,221.50 = 13,221.50 : x
2. Step 2: Convert to fraction form
   5,711.75/13,221.50 = 13,221.50/x
3. Step 3: Cross multiply
   5,711.75x = 13,221.50 × 13,221.50
4. Step 4: Simplify right side
   5,711.75x = 174,808,062.25
5. Step 5: Solve for x
   x = 174,808,062.25/5,711.75
6. Step 6: Final answer
   x = 30,604.99