Finding the Third Proportional to 5,093.63 and 8,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,093.63 : 8,104.50 = 8,104.50 : x
2. Step 2: Convert to fraction form
   5,093.63/8,104.50 = 8,104.50/x
3. Step 3: Cross multiply
   5,093.63x = 8,104.50 × 8,104.50
4. Step 4: Simplify right side
   5,093.63x = 65,682,920.25
5. Step 5: Solve for x
   x = 65,682,920.25/5,093.63
6. Step 6: Final answer
   x = 12,895.12