Finding the Third Proportional to 15,780 and 33,848

Step by Step Solution

1. Step 1: Write the proportion equation
   15,780 : 33,848 = 33,848 : x
2. Step 2: Convert to fraction form
   15,780/33,848 = 33,848/x
3. Step 3: Cross multiply
   15,780x = 33,848 × 33,848
4. Step 4: Simplify right side
   15,780x = 1,145,687,104
5. Step 5: Solve for x
   x = 1,145,687,104/15,780
6. Step 6: Final answer
   x = 72,603.75