Finding the Third Proportional to 5,754 and 13,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,754 : 13,309.50 = 13,309.50 : x
2. Step 2: Convert to fraction form
   5,754/13,309.50 = 13,309.50/x
3. Step 3: Cross multiply
   5,754x = 13,309.50 × 13,309.50
4. Step 4: Simplify right side
   5,754x = 177,142,790.25
5. Step 5: Solve for x
   x = 177,142,790.25/5,754
6. Step 6: Final answer
   x = 30,786.03