Finding the Third Proportional to 33,462.75 and 69,698.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,462.75 : 69,698.25 = 69,698.25 : x
2. Step 2: Convert to fraction form
   33,462.75/69,698.25 = 69,698.25/x
3. Step 3: Cross multiply
   33,462.75x = 69,698.25 × 69,698.25
4. Step 4: Simplify right side
   33,462.75x = 4,857,846,053.06
5. Step 5: Solve for x
   x = 4,857,846,053.06/33,462.75
6. Step 6: Final answer
   x = 145,171.75