Finding the Third Proportional to 5,179.50 and 13,799.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,179.50 : 13,799.25 = 13,799.25 : x
2. Step 2: Convert to fraction form
   5,179.50/13,799.25 = 13,799.25/x
3. Step 3: Cross multiply
   5,179.50x = 13,799.25 × 13,799.25
4. Step 4: Simplify right side
   5,179.50x = 190,419,300.56
5. Step 5: Solve for x
   x = 190,419,300.56/5,179.50
6. Step 6: Final answer
   x = 36,764.03