Finding the Third Proportional to 10,913 and 16,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,913 : 16,784 = 16,784 : x
2. Step 2: Convert to fraction form
   10,913/16,784 = 16,784/x
3. Step 3: Cross multiply
   10,913x = 16,784 × 16,784
4. Step 4: Simplify right side
   10,913x = 281,702,656
5. Step 5: Solve for x
   x = 281,702,656/10,913
6. Step 6: Final answer
   x = 25,813.49