Finding the Third Proportional to 5,884.50 and 8,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,884.50 : 8,605.50 = 8,605.50 : x
2. Step 2: Convert to fraction form
   5,884.50/8,605.50 = 8,605.50/x
3. Step 3: Cross multiply
   5,884.50x = 8,605.50 × 8,605.50
4. Step 4: Simplify right side
   5,884.50x = 74,054,630.25
5. Step 5: Solve for x
   x = 74,054,630.25/5,884.50
6. Step 6: Final answer
   x = 12,584.69