Finding the Third Proportional to 33,764 and 71,164

Step by Step Solution

1. Step 1: Write the proportion equation
   33,764 : 71,164 = 71,164 : x
2. Step 2: Convert to fraction form
   33,764/71,164 = 71,164/x
3. Step 3: Cross multiply
   33,764x = 71,164 × 71,164
4. Step 4: Simplify right side
   33,764x = 5,064,314,896
5. Step 5: Solve for x
   x = 5,064,314,896/33,764
6. Step 6: Final answer
   x = 149,991.56