Finding the Third Proportional to 5,684.63 and 12,303.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684.63 : 12,303.38 = 12,303.38 : x
2. Step 2: Convert to fraction form
   5,684.63/12,303.38 = 12,303.38/x
3. Step 3: Cross multiply
   5,684.63x = 12,303.38 × 12,303.38
4. Step 4: Simplify right side
   5,684.63x = 151,373,036.39
5. Step 5: Solve for x
   x = 151,373,036.39/5,684.63
6. Step 6: Final answer
   x = 26,628.50