Finding the Third Proportional to 33,538 and 69,836

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 69,836 = 69,836 : x
2. Step 2: Convert to fraction form
   33,538/69,836 = 69,836/x
3. Step 3: Cross multiply
   33,538x = 69,836 × 69,836
4. Step 4: Simplify right side
   33,538x = 4,877,066,896
5. Step 5: Solve for x
   x = 4,877,066,896/33,538
6. Step 6: Final answer
   x = 145,419.13