Finding the Third Proportional to 30,906 and 67,644

Step by Step Solution

1. Step 1: Write the proportion equation
   30,906 : 67,644 = 67,644 : x
2. Step 2: Convert to fraction form
   30,906/67,644 = 67,644/x
3. Step 3: Cross multiply
   30,906x = 67,644 × 67,644
4. Step 4: Simplify right side
   30,906x = 4,575,710,736
5. Step 5: Solve for x
   x = 4,575,710,736/30,906
6. Step 6: Final answer
   x = 148,052.51