Finding the Third Proportional to 33,642 and 70,769.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 70,769.25 = 70,769.25 : x
2. Step 2: Convert to fraction form
   33,642/70,769.25 = 70,769.25/x
3. Step 3: Cross multiply
   33,642x = 70,769.25 × 70,769.25
4. Step 4: Simplify right side
   33,642x = 5,008,286,745.56
5. Step 5: Solve for x
   x = 5,008,286,745.56/33,642
6. Step 6: Final answer
   x = 148,870.07