Finding the Third Proportional to 53,800.50 and 76,839

Step by Step Solution

1. Step 1: Write the proportion equation
   53,800.50 : 76,839 = 76,839 : x
2. Step 2: Convert to fraction form
   53,800.50/76,839 = 76,839/x
3. Step 3: Cross multiply
   53,800.50x = 76,839 × 76,839
4. Step 4: Simplify right side
   53,800.50x = 5,904,231,921
5. Step 5: Solve for x
   x = 5,904,231,921/53,800.50
6. Step 6: Final answer
   x = 109,743.07