Finding the Third Proportional to 30,928 and 72,262

Step by Step Solution

1. Step 1: Write the proportion equation
   30,928 : 72,262 = 72,262 : x
2. Step 2: Convert to fraction form
   30,928/72,262 = 72,262/x
3. Step 3: Cross multiply
   30,928x = 72,262 × 72,262
4. Step 4: Simplify right side
   30,928x = 5,221,796,644
5. Step 5: Solve for x
   x = 5,221,796,644/30,928
6. Step 6: Final answer
   x = 168,837.19