Finding the Third Proportional to 30,926 and 72,257

Step by Step Solution

1. Step 1: Write the proportion equation
   30,926 : 72,257 = 72,257 : x
2. Step 2: Convert to fraction form
   30,926/72,257 = 72,257/x
3. Step 3: Cross multiply
   30,926x = 72,257 × 72,257
4. Step 4: Simplify right side
   30,926x = 5,221,074,049
5. Step 5: Solve for x
   x = 5,221,074,049/30,926
6. Step 6: Final answer
   x = 168,824.74