Finding the Third Proportional to 11,641 and 16,068

Step by Step Solution

1. Step 1: Write the proportion equation
   11,641 : 16,068 = 16,068 : x
2. Step 2: Convert to fraction form
   11,641/16,068 = 16,068/x
3. Step 3: Cross multiply
   11,641x = 16,068 × 16,068
4. Step 4: Simplify right side
   11,641x = 258,180,624
5. Step 5: Solve for x
   x = 258,180,624/11,641
6. Step 6: Final answer
   x = 22,178.56