Finding the Third Proportional to 5,776.50 and 8,613.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,776.50 : 8,613.75 = 8,613.75 : x
2. Step 2: Convert to fraction form
   5,776.50/8,613.75 = 8,613.75/x
3. Step 3: Cross multiply
   5,776.50x = 8,613.75 × 8,613.75
4. Step 4: Simplify right side
   5,776.50x = 74,196,689.06
5. Step 5: Solve for x
   x = 74,196,689.06/5,776.50
6. Step 6: Final answer
   x = 12,844.58