Finding the Third Proportional to 5,178.50 and 8,203.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,178.50 : 8,203.75 = 8,203.75 : x
2. Step 2: Convert to fraction form
   5,178.50/8,203.75 = 8,203.75/x
3. Step 3: Cross multiply
   5,178.50x = 8,203.75 × 8,203.75
4. Step 4: Simplify right side
   5,178.50x = 67,301,514.06
5. Step 5: Solve for x
   x = 67,301,514.06/5,178.50
6. Step 6: Final answer
   x = 12,996.33