Finding the Third Proportional to 22,533 and 52,162.88

Step by Step Solution

1. Step 1: Write the proportion equation
   22,533 : 52,162.88 = 52,162.88 : x
2. Step 2: Convert to fraction form
   22,533/52,162.88 = 52,162.88/x
3. Step 3: Cross multiply
   22,533x = 52,162.88 × 52,162.88
4. Step 4: Simplify right side
   22,533x = 2,720,965,528.27
5. Step 5: Solve for x
   x = 2,720,965,528.27/22,533
6. Step 6: Final answer
   x = 120,754.69