Finding the Third Proportional to 35,042 and 71,719

Step by Step Solution

1. Step 1: Write the proportion equation
   35,042 : 71,719 = 71,719 : x
2. Step 2: Convert to fraction form
   35,042/71,719 = 71,719/x
3. Step 3: Cross multiply
   35,042x = 71,719 × 71,719
4. Step 4: Simplify right side
   35,042x = 5,143,614,961
5. Step 5: Solve for x
   x = 5,143,614,961/35,042
6. Step 6: Final answer
   x = 146,784.29