Finding the Third Proportional to 20,772 and 32,217

Step by Step Solution

1. Step 1: Write the proportion equation
   20,772 : 32,217 = 32,217 : x
2. Step 2: Convert to fraction form
   20,772/32,217 = 32,217/x
3. Step 3: Cross multiply
   20,772x = 32,217 × 32,217
4. Step 4: Simplify right side
   20,772x = 1,037,935,089
5. Step 5: Solve for x
   x = 1,037,935,089/20,772
6. Step 6: Final answer
   x = 49,967.99