Finding the Third Proportional to 16,396 and 35,870

Step by Step Solution

1. Step 1: Write the proportion equation
   16,396 : 35,870 = 35,870 : x
2. Step 2: Convert to fraction form
   16,396/35,870 = 35,870/x
3. Step 3: Cross multiply
   16,396x = 35,870 × 35,870
4. Step 4: Simplify right side
   16,396x = 1,286,656,900
5. Step 5: Solve for x
   x = 1,286,656,900/16,396
6. Step 6: Final answer
   x = 78,473.83