Finding the Third Proportional to 5,754 and 13,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,754 : 13,273.50 = 13,273.50 : x
2. Step 2: Convert to fraction form
   5,754/13,273.50 = 13,273.50/x
3. Step 3: Cross multiply
   5,754x = 13,273.50 × 13,273.50
4. Step 4: Simplify right side
   5,754x = 176,185,802.25
5. Step 5: Solve for x
   x = 176,185,802.25/5,754
6. Step 6: Final answer
   x = 30,619.71