Finding the Third Proportional to 39,834 and 55,827

Step by Step Solution

1. Step 1: Write the proportion equation
   39,834 : 55,827 = 55,827 : x
2. Step 2: Convert to fraction form
   39,834/55,827 = 55,827/x
3. Step 3: Cross multiply
   39,834x = 55,827 × 55,827
4. Step 4: Simplify right side
   39,834x = 3,116,653,929
5. Step 5: Solve for x
   x = 3,116,653,929/39,834
6. Step 6: Final answer
   x = 78,241.05