Finding the Third Proportional to 31,644 and 47,538

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 47,538 = 47,538 : x
2. Step 2: Convert to fraction form
   31,644/47,538 = 47,538/x
3. Step 3: Cross multiply
   31,644x = 47,538 × 47,538
4. Step 4: Simplify right side
   31,644x = 2,259,861,444
5. Step 5: Solve for x
   x = 2,259,861,444/31,644
6. Step 6: Final answer
   x = 71,415.16