Finding the Third Proportional to 35,458 and 72,742

Step by Step Solution

1. Step 1: Write the proportion equation
   35,458 : 72,742 = 72,742 : x
2. Step 2: Convert to fraction form
   35,458/72,742 = 72,742/x
3. Step 3: Cross multiply
   35,458x = 72,742 × 72,742
4. Step 4: Simplify right side
   35,458x = 5,291,398,564
5. Step 5: Solve for x
   x = 5,291,398,564/35,458
6. Step 6: Final answer
   x = 149,230.03