Finding the Third Proportional to 31,644 and 48,996

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 48,996 = 48,996 : x
2. Step 2: Convert to fraction form
   31,644/48,996 = 48,996/x
3. Step 3: Cross multiply
   31,644x = 48,996 × 48,996
4. Step 4: Simplify right side
   31,644x = 2,400,608,016
5. Step 5: Solve for x
   x = 2,400,608,016/31,644
6. Step 6: Final answer
   x = 75,862.98