Finding the Third Proportional to 21,772 and 32,573

Step by Step Solution

1. Step 1: Write the proportion equation
   21,772 : 32,573 = 32,573 : x
2. Step 2: Convert to fraction form
   21,772/32,573 = 32,573/x
3. Step 3: Cross multiply
   21,772x = 32,573 × 32,573
4. Step 4: Simplify right side
   21,772x = 1,061,000,329
5. Step 5: Solve for x
   x = 1,061,000,329/21,772
6. Step 6: Final answer
   x = 48,732.33