Finding the Third Proportional to 33,815 and 72,320

Step by Step Solution

1. Step 1: Write the proportion equation
   33,815 : 72,320 = 72,320 : x
2. Step 2: Convert to fraction form
   33,815/72,320 = 72,320/x
3. Step 3: Cross multiply
   33,815x = 72,320 × 72,320
4. Step 4: Simplify right side
   33,815x = 5,230,182,400
5. Step 5: Solve for x
   x = 5,230,182,400/33,815
6. Step 6: Final answer
   x = 154,670.48