Finding the Third Proportional to 13,776 and 16,188

Step by Step Solution

1. Step 1: Write the proportion equation
   13,776 : 16,188 = 16,188 : x
2. Step 2: Convert to fraction form
   13,776/16,188 = 16,188/x
3. Step 3: Cross multiply
   13,776x = 16,188 × 16,188
4. Step 4: Simplify right side
   13,776x = 262,051,344
5. Step 5: Solve for x
   x = 262,051,344/13,776
6. Step 6: Final answer
   x = 19,022.31