Finding the Third Proportional to 5,458.50 and 8,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,458.50 : 8,164.50 = 8,164.50 : x
2. Step 2: Convert to fraction form
   5,458.50/8,164.50 = 8,164.50/x
3. Step 3: Cross multiply
   5,458.50x = 8,164.50 × 8,164.50
4. Step 4: Simplify right side
   5,458.50x = 66,659,060.25
5. Step 5: Solve for x
   x = 66,659,060.25/5,458.50
6. Step 6: Final answer
   x = 12,211.97