Finding the Third Proportional to 33,823 and 72,337

Step by Step Solution

1. Step 1: Write the proportion equation
   33,823 : 72,337 = 72,337 : x
2. Step 2: Convert to fraction form
   33,823/72,337 = 72,337/x
3. Step 3: Cross multiply
   33,823x = 72,337 × 72,337
4. Step 4: Simplify right side
   33,823x = 5,232,641,569
5. Step 5: Solve for x
   x = 5,232,641,569/33,823
6. Step 6: Final answer
   x = 154,706.61