Finding the Third Proportional to 35,922 and 73,635

Step by Step Solution

1. Step 1: Write the proportion equation
   35,922 : 73,635 = 73,635 : x
2. Step 2: Convert to fraction form
   35,922/73,635 = 73,635/x
3. Step 3: Cross multiply
   35,922x = 73,635 × 73,635
4. Step 4: Simplify right side
   35,922x = 5,422,113,225
5. Step 5: Solve for x
   x = 5,422,113,225/35,922
6. Step 6: Final answer
   x = 150,941.30