Finding the Third Proportional to 30,856 and 72,790

Step by Step Solution

1. Step 1: Write the proportion equation
   30,856 : 72,790 = 72,790 : x
2. Step 2: Convert to fraction form
   30,856/72,790 = 72,790/x
3. Step 3: Cross multiply
   30,856x = 72,790 × 72,790
4. Step 4: Simplify right side
   30,856x = 5,298,384,100
5. Step 5: Solve for x
   x = 5,298,384,100/30,856
6. Step 6: Final answer
   x = 171,713.25