Finding the Third Proportional to 13,774 and 22,182

Step by Step Solution

1. Step 1: Write the proportion equation
   13,774 : 22,182 = 22,182 : x
2. Step 2: Convert to fraction form
   13,774/22,182 = 22,182/x
3. Step 3: Cross multiply
   13,774x = 22,182 × 22,182
4. Step 4: Simplify right side
   13,774x = 492,041,124
5. Step 5: Solve for x
   x = 492,041,124/13,774
6. Step 6: Final answer
   x = 35,722.46