Finding the Third Proportional to 5,936.63 and 12,814.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,936.63 : 12,814.88 = 12,814.88 : x
2. Step 2: Convert to fraction form
   5,936.63/12,814.88 = 12,814.88/x
3. Step 3: Cross multiply
   5,936.63x = 12,814.88 × 12,814.88
4. Step 4: Simplify right side
   5,936.63x = 164,221,021.27
5. Step 5: Solve for x
   x = 164,221,021.27/5,936.63
6. Step 6: Final answer
   x = 27,662.35