Finding the Third Proportional to 11,776 and 16,784

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776 : 16,784 = 16,784 : x
2. Step 2: Convert to fraction form
   11,776/16,784 = 16,784/x
3. Step 3: Cross multiply
   11,776x = 16,784 × 16,784
4. Step 4: Simplify right side
   11,776x = 281,702,656
5. Step 5: Solve for x
   x = 281,702,656/11,776
6. Step 6: Final answer
   x = 23,921.76