Finding the Third Proportional to 15,878 and 33,538

Step by Step Solution

1. Step 1: Write the proportion equation
   15,878 : 33,538 = 33,538 : x
2. Step 2: Convert to fraction form
   15,878/33,538 = 33,538/x
3. Step 3: Cross multiply
   15,878x = 33,538 × 33,538
4. Step 4: Simplify right side
   15,878x = 1,124,797,444
5. Step 5: Solve for x
   x = 1,124,797,444/15,878
6. Step 6: Final answer
   x = 70,840.00