Finding the Third Proportional to 40,206 and 71,340

Step by Step Solution

1. Step 1: Write the proportion equation
   40,206 : 71,340 = 71,340 : x
2. Step 2: Convert to fraction form
   40,206/71,340 = 71,340/x
3. Step 3: Cross multiply
   40,206x = 71,340 × 71,340
4. Step 4: Simplify right side
   40,206x = 5,089,395,600
5. Step 5: Solve for x
   x = 5,089,395,600/40,206
6. Step 6: Final answer
   x = 126,582.99