Finding the Third Proportional to 5,196 and 12,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196 : 12,229.50 = 12,229.50 : x
2. Step 2: Convert to fraction form
   5,196/12,229.50 = 12,229.50/x
3. Step 3: Cross multiply
   5,196x = 12,229.50 × 12,229.50
4. Step 4: Simplify right side
   5,196x = 149,560,670.25
5. Step 5: Solve for x
   x = 149,560,670.25/5,196
6. Step 6: Final answer
   x = 28,783.81