Finding the Third Proportional to 22,533.50 and 33,766

Step by Step Solution

1. Step 1: Write the proportion equation
   22,533.50 : 33,766 = 33,766 : x
2. Step 2: Convert to fraction form
   22,533.50/33,766 = 33,766/x
3. Step 3: Cross multiply
   22,533.50x = 33,766 × 33,766
4. Step 4: Simplify right side
   22,533.50x = 1,140,142,756
5. Step 5: Solve for x
   x = 1,140,142,756/22,533.50
6. Step 6: Final answer
   x = 50,597.68