Finding the Third Proportional to 30,796 and 71,848

Step by Step Solution

1. Step 1: Write the proportion equation
   30,796 : 71,848 = 71,848 : x
2. Step 2: Convert to fraction form
   30,796/71,848 = 71,848/x
3. Step 3: Cross multiply
   30,796x = 71,848 × 71,848
4. Step 4: Simplify right side
   30,796x = 5,162,135,104
5. Step 5: Solve for x
   x = 5,162,135,104/30,796
6. Step 6: Final answer
   x = 167,623.56