Finding the Third Proportional to 35,466 and 73,164

Step by Step Solution

1. Step 1: Write the proportion equation
   35,466 : 73,164 = 73,164 : x
2. Step 2: Convert to fraction form
   35,466/73,164 = 73,164/x
3. Step 3: Cross multiply
   35,466x = 73,164 × 73,164
4. Step 4: Simplify right side
   35,466x = 5,352,970,896
5. Step 5: Solve for x
   x = 5,352,970,896/35,466
6. Step 6: Final answer
   x = 150,932.47