Finding the Third Proportional to 23,002 and 35,630

Step by Step Solution

1. Step 1: Write the proportion equation
   23,002 : 35,630 = 35,630 : x
2. Step 2: Convert to fraction form
   23,002/35,630 = 35,630/x
3. Step 3: Cross multiply
   23,002x = 35,630 × 35,630
4. Step 4: Simplify right side
   23,002x = 1,269,496,900
5. Step 5: Solve for x
   x = 1,269,496,900/23,002
6. Step 6: Final answer
   x = 55,190.72