Finding the Third Proportional to 16,264 and 35,696

Step by Step Solution

1. Step 1: Write the proportion equation
   16,264 : 35,696 = 35,696 : x
2. Step 2: Convert to fraction form
   16,264/35,696 = 35,696/x
3. Step 3: Cross multiply
   16,264x = 35,696 × 35,696
4. Step 4: Simplify right side
   16,264x = 1,274,204,416
5. Step 5: Solve for x
   x = 1,274,204,416/16,264
6. Step 6: Final answer
   x = 78,345.08