Finding the Third Proportional to 35,640 and 72,144

Step by Step Solution

1. Step 1: Write the proportion equation
   35,640 : 72,144 = 72,144 : x
2. Step 2: Convert to fraction form
   35,640/72,144 = 72,144/x
3. Step 3: Cross multiply
   35,640x = 72,144 × 72,144
4. Step 4: Simplify right side
   35,640x = 5,204,756,736
5. Step 5: Solve for x
   x = 5,204,756,736/35,640
6. Step 6: Final answer
   x = 146,036.95