Finding the Third Proportional to 22,309 and 33,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,309 : 33,463.50 = 33,463.50 : x
2. Step 2: Convert to fraction form
   22,309/33,463.50 = 33,463.50/x
3. Step 3: Cross multiply
   22,309x = 33,463.50 × 33,463.50
4. Step 4: Simplify right side
   22,309x = 1,119,805,832.25
5. Step 5: Solve for x
   x = 1,119,805,832.25/22,309
6. Step 6: Final answer
   x = 50,195.25