Finding the Third Proportional to 33,135 and 69,064

Step by Step Solution

1. Step 1: Write the proportion equation
   33,135 : 69,064 = 69,064 : x
2. Step 2: Convert to fraction form
   33,135/69,064 = 69,064/x
3. Step 3: Cross multiply
   33,135x = 69,064 × 69,064
4. Step 4: Simplify right side
   33,135x = 4,769,836,096
5. Step 5: Solve for x
   x = 4,769,836,096/33,135
6. Step 6: Final answer
   x = 143,951.59