Finding the Third Proportional to 31,538 and 37,298

Step by Step Solution

1. Step 1: Write the proportion equation
   31,538 : 37,298 = 37,298 : x
2. Step 2: Convert to fraction form
   31,538/37,298 = 37,298/x
3. Step 3: Cross multiply
   31,538x = 37,298 × 37,298
4. Step 4: Simplify right side
   31,538x = 1,391,140,804
5. Step 5: Solve for x
   x = 1,391,140,804/31,538
6. Step 6: Final answer
   x = 44,109.99