Finding the Third Proportional to 34,760 and 75,800

Step by Step Solution

1. Step 1: Write the proportion equation
   34,760 : 75,800 = 75,800 : x
2. Step 2: Convert to fraction form
   34,760/75,800 = 75,800/x
3. Step 3: Cross multiply
   34,760x = 75,800 × 75,800
4. Step 4: Simplify right side
   34,760x = 5,745,640,000
5. Step 5: Solve for x
   x = 5,745,640,000/34,760
6. Step 6: Final answer
   x = 165,294.59