Finding the Third Proportional to 31,736 and 68,780

Step by Step Solution

1. Step 1: Write the proportion equation
   31,736 : 68,780 = 68,780 : x
2. Step 2: Convert to fraction form
   31,736/68,780 = 68,780/x
3. Step 3: Cross multiply
   31,736x = 68,780 × 68,780
4. Step 4: Simplify right side
   31,736x = 4,730,688,400
5. Step 5: Solve for x
   x = 4,730,688,400/31,736
6. Step 6: Final answer
   x = 149,063.79