Finding the Third Proportional to 16,290 and 35,698

Step by Step Solution

1. Step 1: Write the proportion equation
   16,290 : 35,698 = 35,698 : x
2. Step 2: Convert to fraction form
   16,290/35,698 = 35,698/x
3. Step 3: Cross multiply
   16,290x = 35,698 × 35,698
4. Step 4: Simplify right side
   16,290x = 1,274,347,204
5. Step 5: Solve for x
   x = 1,274,347,204/16,290
6. Step 6: Final answer
   x = 78,228.80