Finding the Third Proportional to 6,224 and 13,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,224 : 13,025.50 = 13,025.50 : x
2. Step 2: Convert to fraction form
   6,224/13,025.50 = 13,025.50/x
3. Step 3: Cross multiply
   6,224x = 13,025.50 × 13,025.50
4. Step 4: Simplify right side
   6,224x = 169,663,650.25
5. Step 5: Solve for x
   x = 169,663,650.25/6,224
6. Step 6: Final answer
   x = 27,259.58