Finding the Third Proportional to 22,082 and 32,823

Step by Step Solution

1. Step 1: Write the proportion equation
   22,082 : 32,823 = 32,823 : x
2. Step 2: Convert to fraction form
   22,082/32,823 = 32,823/x
3. Step 3: Cross multiply
   22,082x = 32,823 × 32,823
4. Step 4: Simplify right side
   22,082x = 1,077,349,329
5. Step 5: Solve for x
   x = 1,077,349,329/22,082
6. Step 6: Final answer
   x = 48,788.58