Finding the Third Proportional to 33,766 and 69,692

Step by Step Solution

1. Step 1: Write the proportion equation
   33,766 : 69,692 = 69,692 : x
2. Step 2: Convert to fraction form
   33,766/69,692 = 69,692/x
3. Step 3: Cross multiply
   33,766x = 69,692 × 69,692
4. Step 4: Simplify right side
   33,766x = 4,856,974,864
5. Step 5: Solve for x
   x = 4,856,974,864/33,766
6. Step 6: Final answer
   x = 143,842.17