Finding the Third Proportional to 31,501 and 48,740

Step by Step Solution

1. Step 1: Write the proportion equation
   31,501 : 48,740 = 48,740 : x
2. Step 2: Convert to fraction form
   31,501/48,740 = 48,740/x
3. Step 3: Cross multiply
   31,501x = 48,740 × 48,740
4. Step 4: Simplify right side
   31,501x = 2,375,587,600
5. Step 5: Solve for x
   x = 2,375,587,600/31,501
6. Step 6: Final answer
   x = 75,413.09