Finding the Third Proportional to 5,994.75 and 13,179.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,994.75 : 13,179.38 = 13,179.38 : x
2. Step 2: Convert to fraction form
   5,994.75/13,179.38 = 13,179.38/x
3. Step 3: Cross multiply
   5,994.75x = 13,179.38 × 13,179.38
4. Step 4: Simplify right side
   5,994.75x = 173,695,925.39
5. Step 5: Solve for x
   x = 173,695,925.39/5,994.75
6. Step 6: Final answer
   x = 28,974.67