Finding the Third Proportional to 33,535.69 and 69,796.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33,535.69 : 69,796.69 = 69,796.69 : x
2. Step 2: Convert to fraction form
   33,535.69/69,796.69 = 69,796.69/x
3. Step 3: Cross multiply
   33,535.69x = 69,796.69 × 69,796.69
4. Step 4: Simplify right side
   33,535.69x = 4,871,577,585.97
5. Step 5: Solve for x
   x = 4,871,577,585.97/33,535.69
6. Step 6: Final answer
   x = 145,265.48