Finding the Third Proportional to 35,462 and 72,544

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462 : 72,544 = 72,544 : x
2. Step 2: Convert to fraction form
   35,462/72,544 = 72,544/x
3. Step 3: Cross multiply
   35,462x = 72,544 × 72,544
4. Step 4: Simplify right side
   35,462x = 5,262,631,936
5. Step 5: Solve for x
   x = 5,262,631,936/35,462
6. Step 6: Final answer
   x = 148,402.01