Finding the Third Proportional to 31,679 and 68,834

Step by Step Solution

1. Step 1: Write the proportion equation
   31,679 : 68,834 = 68,834 : x
2. Step 2: Convert to fraction form
   31,679/68,834 = 68,834/x
3. Step 3: Cross multiply
   31,679x = 68,834 × 68,834
4. Step 4: Simplify right side
   31,679x = 4,738,119,556
5. Step 5: Solve for x
   x = 4,738,119,556/31,679
6. Step 6: Final answer
   x = 149,566.58