Finding the Third Proportional to 33,385 and 67,691

Step by Step Solution

1. Step 1: Write the proportion equation
   33,385 : 67,691 = 67,691 : x
2. Step 2: Convert to fraction form
   33,385/67,691 = 67,691/x
3. Step 3: Cross multiply
   33,385x = 67,691 × 67,691
4. Step 4: Simplify right side
   33,385x = 4,582,071,481
5. Step 5: Solve for x
   x = 4,582,071,481/33,385
6. Step 6: Final answer
   x = 137,249.41