Finding the Third Proportional to 5,986.50 and 7,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,986.50 : 7,093.50 = 7,093.50 : x
2. Step 2: Convert to fraction form
   5,986.50/7,093.50 = 7,093.50/x
3. Step 3: Cross multiply
   5,986.50x = 7,093.50 × 7,093.50
4. Step 4: Simplify right side
   5,986.50x = 50,317,742.25
5. Step 5: Solve for x
   x = 50,317,742.25/5,986.50
6. Step 6: Final answer
   x = 8,405.20