Finding the Third Proportional to 16,406 and 35,684

Step by Step Solution

1. Step 1: Write the proportion equation
   16,406 : 35,684 = 35,684 : x
2. Step 2: Convert to fraction form
   16,406/35,684 = 35,684/x
3. Step 3: Cross multiply
   16,406x = 35,684 × 35,684
4. Step 4: Simplify right side
   16,406x = 1,273,347,856
5. Step 5: Solve for x
   x = 1,273,347,856/16,406
6. Step 6: Final answer
   x = 77,614.77