Finding the Third Proportional to 34,182 and 72,732

Step by Step Solution

1. Step 1: Write the proportion equation
   34,182 : 72,732 = 72,732 : x
2. Step 2: Convert to fraction form
   34,182/72,732 = 72,732/x
3. Step 3: Cross multiply
   34,182x = 72,732 × 72,732
4. Step 4: Simplify right side
   34,182x = 5,289,943,824
5. Step 5: Solve for x
   x = 5,289,943,824/34,182
6. Step 6: Final answer
   x = 154,758.17