Finding the Third Proportional to 22,182 and 33,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,182 : 33,193.50 = 33,193.50 : x
2. Step 2: Convert to fraction form
   22,182/33,193.50 = 33,193.50/x
3. Step 3: Cross multiply
   22,182x = 33,193.50 × 33,193.50
4. Step 4: Simplify right side
   22,182x = 1,101,808,442.25
5. Step 5: Solve for x
   x = 1,101,808,442.25/22,182
6. Step 6: Final answer
   x = 49,671.28