Finding the Third Proportional to 34,856 and 75,280

Step by Step Solution

1. Step 1: Write the proportion equation
   34,856 : 75,280 = 75,280 : x
2. Step 2: Convert to fraction form
   34,856/75,280 = 75,280/x
3. Step 3: Cross multiply
   34,856x = 75,280 × 75,280
4. Step 4: Simplify right side
   34,856x = 5,667,078,400
5. Step 5: Solve for x
   x = 5,667,078,400/34,856
6. Step 6: Final answer
   x = 162,585.45