Finding the Third Proportional to 16,183 and 35,294

Step by Step Solution

1. Step 1: Write the proportion equation
   16,183 : 35,294 = 35,294 : x
2. Step 2: Convert to fraction form
   16,183/35,294 = 35,294/x
3. Step 3: Cross multiply
   16,183x = 35,294 × 35,294
4. Step 4: Simplify right side
   16,183x = 1,245,666,436
5. Step 5: Solve for x
   x = 1,245,666,436/16,183
6. Step 6: Final answer
   x = 76,973.76