Finding the Third Proportional to 31,417 and 67,756

Step by Step Solution

1. Step 1: Write the proportion equation
   31,417 : 67,756 = 67,756 : x
2. Step 2: Convert to fraction form
   31,417/67,756 = 67,756/x
3. Step 3: Cross multiply
   31,417x = 67,756 × 67,756
4. Step 4: Simplify right side
   31,417x = 4,590,875,536
5. Step 5: Solve for x
   x = 4,590,875,536/31,417
6. Step 6: Final answer
   x = 146,127.11