Finding the Third Proportional to 34,421 and 72,976

Step by Step Solution

1. Step 1: Write the proportion equation
   34,421 : 72,976 = 72,976 : x
2. Step 2: Convert to fraction form
   34,421/72,976 = 72,976/x
3. Step 3: Cross multiply
   34,421x = 72,976 × 72,976
4. Step 4: Simplify right side
   34,421x = 5,325,496,576
5. Step 5: Solve for x
   x = 5,325,496,576/34,421
6. Step 6: Final answer
   x = 154,716.50