Finding the Third Proportional to 35,508 and 72,042

Step by Step Solution

1. Step 1: Write the proportion equation
   35,508 : 72,042 = 72,042 : x
2. Step 2: Convert to fraction form
   35,508/72,042 = 72,042/x
3. Step 3: Cross multiply
   35,508x = 72,042 × 72,042
4. Step 4: Simplify right side
   35,508x = 5,190,049,764
5. Step 5: Solve for x
   x = 5,190,049,764/35,508
6. Step 6: Final answer
   x = 146,165.65