Finding the Third Proportional to 5,754.38 and 12,533.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,754.38 : 12,533.88 = 12,533.88 : x
2. Step 2: Convert to fraction form
   5,754.38/12,533.88 = 12,533.88/x
3. Step 3: Cross multiply
   5,754.38x = 12,533.88 × 12,533.88
4. Step 4: Simplify right side
   5,754.38x = 157,098,022.52
5. Step 5: Solve for x
   x = 157,098,022.52/5,754.38
6. Step 6: Final answer
   x = 27,300.62