Finding the Third Proportional to 22,074 and 33,774

Step by Step Solution

1. Step 1: Write the proportion equation
   22,074 : 33,774 = 33,774 : x
2. Step 2: Convert to fraction form
   22,074/33,774 = 33,774/x
3. Step 3: Cross multiply
   22,074x = 33,774 × 33,774
4. Step 4: Simplify right side
   22,074x = 1,140,683,076
5. Step 5: Solve for x
   x = 1,140,683,076/22,074
6. Step 6: Final answer
   x = 51,675.41