Finding the Third Proportional to 22,664 and 33,942

Step by Step Solution

1. Step 1: Write the proportion equation
   22,664 : 33,942 = 33,942 : x
2. Step 2: Convert to fraction form
   22,664/33,942 = 33,942/x
3. Step 3: Cross multiply
   22,664x = 33,942 × 33,942
4. Step 4: Simplify right side
   22,664x = 1,152,059,364
5. Step 5: Solve for x
   x = 1,152,059,364/22,664
6. Step 6: Final answer
   x = 50,832.13