Finding the Third Proportional to 33,820 and 52,573

Step by Step Solution

1. Step 1: Write the proportion equation
   33,820 : 52,573 = 52,573 : x
2. Step 2: Convert to fraction form
   33,820/52,573 = 52,573/x
3. Step 3: Cross multiply
   33,820x = 52,573 × 52,573
4. Step 4: Simplify right side
   33,820x = 2,763,920,329
5. Step 5: Solve for x
   x = 2,763,920,329/33,820
6. Step 6: Final answer
   x = 81,724.43