Finding the Third Proportional to 31,948 and 50,003

Step by Step Solution

1. Step 1: Write the proportion equation
   31,948 : 50,003 = 50,003 : x
2. Step 2: Convert to fraction form
   31,948/50,003 = 50,003/x
3. Step 3: Cross multiply
   31,948x = 50,003 × 50,003
4. Step 4: Simplify right side
   31,948x = 2,500,300,009
5. Step 5: Solve for x
   x = 2,500,300,009/31,948
6. Step 6: Final answer
   x = 78,261.55