Finding the Third Proportional to 6,208 and 13,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,208 : 13,054.50 = 13,054.50 : x
2. Step 2: Convert to fraction form
   6,208/13,054.50 = 13,054.50/x
3. Step 3: Cross multiply
   6,208x = 13,054.50 × 13,054.50
4. Step 4: Simplify right side
   6,208x = 170,419,970.25
5. Step 5: Solve for x
   x = 170,419,970.25/6,208
6. Step 6: Final answer
   x = 27,451.67