Finding the Third Proportional to 21,910 and 32,774

Step by Step Solution

1. Step 1: Write the proportion equation
   21,910 : 32,774 = 32,774 : x
2. Step 2: Convert to fraction form
   21,910/32,774 = 32,774/x
3. Step 3: Cross multiply
   21,910x = 32,774 × 32,774
4. Step 4: Simplify right side
   21,910x = 1,074,135,076
5. Step 5: Solve for x
   x = 1,074,135,076/21,910
6. Step 6: Final answer
   x = 49,024.88