Finding the Third Proportional to 16,408 and 33,784

Step by Step Solution

1. Step 1: Write the proportion equation
   16,408 : 33,784 = 33,784 : x
2. Step 2: Convert to fraction form
   16,408/33,784 = 33,784/x
3. Step 3: Cross multiply
   16,408x = 33,784 × 33,784
4. Step 4: Simplify right side
   16,408x = 1,141,358,656
5. Step 5: Solve for x
   x = 1,141,358,656/16,408
6. Step 6: Final answer
   x = 69,561.11