Finding the Third Proportional to 31,692 and 67,008

Step by Step Solution

1. Step 1: Write the proportion equation
   31,692 : 67,008 = 67,008 : x
2. Step 2: Convert to fraction form
   31,692/67,008 = 67,008/x
3. Step 3: Cross multiply
   31,692x = 67,008 × 67,008
4. Step 4: Simplify right side
   31,692x = 4,490,072,064
5. Step 5: Solve for x
   x = 4,490,072,064/31,692
6. Step 6: Final answer
   x = 141,678.41