Finding the Third Proportional to 33,540 and 69,206.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,540 : 69,206.25 = 69,206.25 : x
2. Step 2: Convert to fraction form
   33,540/69,206.25 = 69,206.25/x
3. Step 3: Cross multiply
   33,540x = 69,206.25 × 69,206.25
4. Step 4: Simplify right side
   33,540x = 4,789,505,039.06
5. Step 5: Solve for x
   x = 4,789,505,039.06/33,540
6. Step 6: Final answer
   x = 142,799.79