Finding the Third Proportional to 33,680 and 69,546

Step by Step Solution

1. Step 1: Write the proportion equation
   33,680 : 69,546 = 69,546 : x
2. Step 2: Convert to fraction form
   33,680/69,546 = 69,546/x
3. Step 3: Cross multiply
   33,680x = 69,546 × 69,546
4. Step 4: Simplify right side
   33,680x = 4,836,646,116
5. Step 5: Solve for x
   x = 4,836,646,116/33,680
6. Step 6: Final answer
   x = 143,605.88