Finding the Third Proportional to 16,290 and 35,697

Step by Step Solution

1. Step 1: Write the proportion equation
   16,290 : 35,697 = 35,697 : x
2. Step 2: Convert to fraction form
   16,290/35,697 = 35,697/x
3. Step 3: Cross multiply
   16,290x = 35,697 × 35,697
4. Step 4: Simplify right side
   16,290x = 1,274,275,809
5. Step 5: Solve for x
   x = 1,274,275,809/16,290
6. Step 6: Final answer
   x = 78,224.42