Finding the Third Proportional to 11,776 and 16,140

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776 : 16,140 = 16,140 : x
2. Step 2: Convert to fraction form
   11,776/16,140 = 16,140/x
3. Step 3: Cross multiply
   11,776x = 16,140 × 16,140
4. Step 4: Simplify right side
   11,776x = 260,499,600
5. Step 5: Solve for x
   x = 260,499,600/11,776
6. Step 6: Final answer
   x = 22,121.23