Finding the Third Proportional to 35,408 and 72,449

Step by Step Solution

1. Step 1: Write the proportion equation
   35,408 : 72,449 = 72,449 : x
2. Step 2: Convert to fraction form
   35,408/72,449 = 72,449/x
3. Step 3: Cross multiply
   35,408x = 72,449 × 72,449
4. Step 4: Simplify right side
   35,408x = 5,248,857,601
5. Step 5: Solve for x
   x = 5,248,857,601/35,408
6. Step 6: Final answer
   x = 148,239.31