Finding the Third Proportional to 33,385 and 67,692

Step by Step Solution

1. Step 1: Write the proportion equation
   33,385 : 67,692 = 67,692 : x
2. Step 2: Convert to fraction form
   33,385/67,692 = 67,692/x
3. Step 3: Cross multiply
   33,385x = 67,692 × 67,692
4. Step 4: Simplify right side
   33,385x = 4,582,206,864
5. Step 5: Solve for x
   x = 4,582,206,864/33,385
6. Step 6: Final answer
   x = 137,253.46