Finding the Third Proportional to 22,550 and 33,829

Step by Step Solution

1. Step 1: Write the proportion equation
   22,550 : 33,829 = 33,829 : x
2. Step 2: Convert to fraction form
   22,550/33,829 = 33,829/x
3. Step 3: Cross multiply
   22,550x = 33,829 × 33,829
4. Step 4: Simplify right side
   22,550x = 1,144,401,241
5. Step 5: Solve for x
   x = 1,144,401,241/22,550
6. Step 6: Final answer
   x = 50,749.50