Finding the Third Proportional to 34,644 and 72,240

Step by Step Solution

1. Step 1: Write the proportion equation
   34,644 : 72,240 = 72,240 : x
2. Step 2: Convert to fraction form
   34,644/72,240 = 72,240/x
3. Step 3: Cross multiply
   34,644x = 72,240 × 72,240
4. Step 4: Simplify right side
   34,644x = 5,218,617,600
5. Step 5: Solve for x
   x = 5,218,617,600/34,644
6. Step 6: Final answer
   x = 150,635.54