Finding the Third Proportional to 34,892 and 72,735

Step by Step Solution

1. Step 1: Write the proportion equation
   34,892 : 72,735 = 72,735 : x
2. Step 2: Convert to fraction form
   34,892/72,735 = 72,735/x
3. Step 3: Cross multiply
   34,892x = 72,735 × 72,735
4. Step 4: Simplify right side
   34,892x = 5,290,380,225
5. Step 5: Solve for x
   x = 5,290,380,225/34,892
6. Step 6: Final answer
   x = 151,621.58