Finding the Third Proportional to 11,572 and 16,386

Step by Step Solution

1. Step 1: Write the proportion equation
   11,572 : 16,386 = 16,386 : x
2. Step 2: Convert to fraction form
   11,572/16,386 = 16,386/x
3. Step 3: Cross multiply
   11,572x = 16,386 × 16,386
4. Step 4: Simplify right side
   11,572x = 268,500,996
5. Step 5: Solve for x
   x = 268,500,996/11,572
6. Step 6: Final answer
   x = 23,202.64