Finding the Third Proportional to 35,218 and 71,012

Step by Step Solution

1. Step 1: Write the proportion equation
   35,218 : 71,012 = 71,012 : x
2. Step 2: Convert to fraction form
   35,218/71,012 = 71,012/x
3. Step 3: Cross multiply
   35,218x = 71,012 × 71,012
4. Step 4: Simplify right side
   35,218x = 5,042,704,144
5. Step 5: Solve for x
   x = 5,042,704,144/35,218
6. Step 6: Final answer
   x = 143,185.42