Finding the Third Proportional to 35,409 and 72,451

Step by Step Solution

1. Step 1: Write the proportion equation
   35,409 : 72,451 = 72,451 : x
2. Step 2: Convert to fraction form
   35,409/72,451 = 72,451/x
3. Step 3: Cross multiply
   35,409x = 72,451 × 72,451
4. Step 4: Simplify right side
   35,409x = 5,249,147,401
5. Step 5: Solve for x
   x = 5,249,147,401/35,409
6. Step 6: Final answer
   x = 148,243.31