Finding the Third Proportional to 22,665 and 33,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,665 : 33,943.50 = 33,943.50 : x
2. Step 2: Convert to fraction form
   22,665/33,943.50 = 33,943.50/x
3. Step 3: Cross multiply
   22,665x = 33,943.50 × 33,943.50
4. Step 4: Simplify right side
   22,665x = 1,152,161,192.25
5. Step 5: Solve for x
   x = 1,152,161,192.25/22,665
6. Step 6: Final answer
   x = 50,834.38