Finding the Third Proportional to 30,696 and 67,008

Step by Step Solution

1. Step 1: Write the proportion equation
   30,696 : 67,008 = 67,008 : x
2. Step 2: Convert to fraction form
   30,696/67,008 = 67,008/x
3. Step 3: Cross multiply
   30,696x = 67,008 × 67,008
4. Step 4: Simplify right side
   30,696x = 4,490,072,064
5. Step 5: Solve for x
   x = 4,490,072,064/30,696
6. Step 6: Final answer
   x = 146,275.48