Finding the Third Proportional to 13,774 and 30,006

Step by Step Solution

1. Step 1: Write the proportion equation
   13,774 : 30,006 = 30,006 : x
2. Step 2: Convert to fraction form
   13,774/30,006 = 30,006/x
3. Step 3: Cross multiply
   13,774x = 30,006 × 30,006
4. Step 4: Simplify right side
   13,774x = 900,360,036
5. Step 5: Solve for x
   x = 900,360,036/13,774
6. Step 6: Final answer
   x = 65,366.64