Finding the Third Proportional to 30,800 and 45,996

Step by Step Solution

1. Step 1: Write the proportion equation
   30,800 : 45,996 = 45,996 : x
2. Step 2: Convert to fraction form
   30,800/45,996 = 45,996/x
3. Step 3: Cross multiply
   30,800x = 45,996 × 45,996
4. Step 4: Simplify right side
   30,800x = 2,115,632,016
5. Step 5: Solve for x
   x = 2,115,632,016/30,800
6. Step 6: Final answer
   x = 68,689.35