Finding the Third Proportional to 31,608 and 37,386

Step by Step Solution

1. Step 1: Write the proportion equation
   31,608 : 37,386 = 37,386 : x
2. Step 2: Convert to fraction form
   31,608/37,386 = 37,386/x
3. Step 3: Cross multiply
   31,608x = 37,386 × 37,386
4. Step 4: Simplify right side
   31,608x = 1,397,712,996
5. Step 5: Solve for x
   x = 1,397,712,996/31,608
6. Step 6: Final answer
   x = 44,220.23