Finding the Third Proportional to 3,823.50 and 7,836

Step by Step Solution

1. Step 1: Write the proportion equation
   3,823.50 : 7,836 = 7,836 : x
2. Step 2: Convert to fraction form
   3,823.50/7,836 = 7,836/x
3. Step 3: Cross multiply
   3,823.50x = 7,836 × 7,836
4. Step 4: Simplify right side
   3,823.50x = 61,402,896
5. Step 5: Solve for x
   x = 61,402,896/3,823.50
6. Step 6: Final answer
   x = 16,059.34