Finding the Third Proportional to 30,905 and 67,642

Step by Step Solution

1. Step 1: Write the proportion equation
   30,905 : 67,642 = 67,642 : x
2. Step 2: Convert to fraction form
   30,905/67,642 = 67,642/x
3. Step 3: Cross multiply
   30,905x = 67,642 × 67,642
4. Step 4: Simplify right side
   30,905x = 4,575,440,164
5. Step 5: Solve for x
   x = 4,575,440,164/30,905
6. Step 6: Final answer
   x = 148,048.54