Finding the Third Proportional to 33,714 and 68,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,714 : 68,384.25 = 68,384.25 : x
2. Step 2: Convert to fraction form
   33,714/68,384.25 = 68,384.25/x
3. Step 3: Cross multiply
   33,714x = 68,384.25 × 68,384.25
4. Step 4: Simplify right side
   33,714x = 4,676,405,648.06
5. Step 5: Solve for x
   x = 4,676,405,648.06/33,714
6. Step 6: Final answer
   x = 138,708.12