Finding the Third Proportional to 35,540.50 and 76,002

Step by Step Solution

1. Step 1: Write the proportion equation
   35,540.50 : 76,002 = 76,002 : x
2. Step 2: Convert to fraction form
   35,540.50/76,002 = 76,002/x
3. Step 3: Cross multiply
   35,540.50x = 76,002 × 76,002
4. Step 4: Simplify right side
   35,540.50x = 5,776,304,004
5. Step 5: Solve for x
   x = 5,776,304,004/35,540.50
6. Step 6: Final answer
   x = 162,527.37