Finding the Third Proportional to 31,414 and 67,772

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 67,772 = 67,772 : x
2. Step 2: Convert to fraction form
   31,414/67,772 = 67,772/x
3. Step 3: Cross multiply
   31,414x = 67,772 × 67,772
4. Step 4: Simplify right side
   31,414x = 4,593,043,984
5. Step 5: Solve for x
   x = 4,593,043,984/31,414
6. Step 6: Final answer
   x = 146,210.10