Finding the Third Proportional to 31,749 and 67,608

Step by Step Solution

1. Step 1: Write the proportion equation
   31,749 : 67,608 = 67,608 : x
2. Step 2: Convert to fraction form
   31,749/67,608 = 67,608/x
3. Step 3: Cross multiply
   31,749x = 67,608 × 67,608
4. Step 4: Simplify right side
   31,749x = 4,570,841,664
5. Step 5: Solve for x
   x = 4,570,841,664/31,749
6. Step 6: Final answer
   x = 143,968.05