Finding the Third Proportional to 16,340 and 35,796

Step by Step Solution

1. Step 1: Write the proportion equation
   16,340 : 35,796 = 35,796 : x
2. Step 2: Convert to fraction form
   16,340/35,796 = 35,796/x
3. Step 3: Cross multiply
   16,340x = 35,796 × 35,796
4. Step 4: Simplify right side
   16,340x = 1,281,353,616
5. Step 5: Solve for x
   x = 1,281,353,616/16,340
6. Step 6: Final answer
   x = 78,418.21