Finding the Third Proportional to 5,954.63 and 12,819.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,954.63 : 12,819.38 = 12,819.38 : x
2. Step 2: Convert to fraction form
   5,954.63/12,819.38 = 12,819.38/x
3. Step 3: Cross multiply
   5,954.63x = 12,819.38 × 12,819.38
4. Step 4: Simplify right side
   5,954.63x = 164,336,375.39
5. Step 5: Solve for x
   x = 164,336,375.39/5,954.63
6. Step 6: Final answer
   x = 27,598.11