Finding the Third Proportional to 33,696 and 68,850

Step by Step Solution

1. Step 1: Write the proportion equation
   33,696 : 68,850 = 68,850 : x
2. Step 2: Convert to fraction form
   33,696/68,850 = 68,850/x
3. Step 3: Cross multiply
   33,696x = 68,850 × 68,850
4. Step 4: Simplify right side
   33,696x = 4,740,322,500
5. Step 5: Solve for x
   x = 4,740,322,500/33,696
6. Step 6: Final answer
   x = 140,679.09