Finding the Third Proportional to 34,442 and 72,952

Step by Step Solution

1. Step 1: Write the proportion equation
   34,442 : 72,952 = 72,952 : x
2. Step 2: Convert to fraction form
   34,442/72,952 = 72,952/x
3. Step 3: Cross multiply
   34,442x = 72,952 × 72,952
4. Step 4: Simplify right side
   34,442x = 5,321,994,304
5. Step 5: Solve for x
   x = 5,321,994,304/34,442
6. Step 6: Final answer
   x = 154,520.48