Finding the Third Proportional to 22,689 and 33,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,689 : 33,709.50 = 33,709.50 : x
2. Step 2: Convert to fraction form
   22,689/33,709.50 = 33,709.50/x
3. Step 3: Cross multiply
   22,689x = 33,709.50 × 33,709.50
4. Step 4: Simplify right side
   22,689x = 1,136,330,390.25
5. Step 5: Solve for x
   x = 1,136,330,390.25/22,689
6. Step 6: Final answer
   x = 50,082.88