Finding the Third Proportional to 31,776 and 37,608

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776 : 37,608 = 37,608 : x
2. Step 2: Convert to fraction form
   31,776/37,608 = 37,608/x
3. Step 3: Cross multiply
   31,776x = 37,608 × 37,608
4. Step 4: Simplify right side
   31,776x = 1,414,361,664
5. Step 5: Solve for x
   x = 1,414,361,664/31,776
6. Step 6: Final answer
   x = 44,510.37