Finding the Third Proportional to 34,721 and 72,168

Step by Step Solution

1. Step 1: Write the proportion equation
   34,721 : 72,168 = 72,168 : x
2. Step 2: Convert to fraction form
   34,721/72,168 = 72,168/x
3. Step 3: Cross multiply
   34,721x = 72,168 × 72,168
4. Step 4: Simplify right side
   34,721x = 5,208,220,224
5. Step 5: Solve for x
   x = 5,208,220,224/34,721
6. Step 6: Final answer
   x = 150,002.02