Finding the Third Proportional to 2,533.63 and 5,441.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.63 : 5,441.88 = 5,441.88 : x
2. Step 2: Convert to fraction form
   2,533.63/5,441.88 = 5,441.88/x
3. Step 3: Cross multiply
   2,533.63x = 5,441.88 × 5,441.88
4. Step 4: Simplify right side
   2,533.63x = 29,614,003.52
5. Step 5: Solve for x
   x = 29,614,003.52/2,533.63
6. Step 6: Final answer
   x = 11,688.39