Finding the Third Proportional to 35,454 and 72,729

Step by Step Solution

1. Step 1: Write the proportion equation
   35,454 : 72,729 = 72,729 : x
2. Step 2: Convert to fraction form
   35,454/72,729 = 72,729/x
3. Step 3: Cross multiply
   35,454x = 72,729 × 72,729
4. Step 4: Simplify right side
   35,454x = 5,289,507,441
5. Step 5: Solve for x
   x = 5,289,507,441/35,454
6. Step 6: Final answer
   x = 149,193.53