Finding the Third Proportional to 4,799.67 and 9,838.55

Step by Step Solution

1. Step 1: Write the proportion equation
   4,799.67 : 9,838.55 = 9,838.55 : x
2. Step 2: Convert to fraction form
   4,799.67/9,838.55 = 9,838.55/x
3. Step 3: Cross multiply
   4,799.67x = 9,838.55 × 9,838.55
4. Step 4: Simplify right side
   4,799.67x = 96,797,004.61
5. Step 5: Solve for x
   x = 96,797,004.61/4,799.67
6. Step 6: Final answer
   x = 20,167.42