Finding the Third Proportional to 2,413 and 5,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413 : 5,196.50 = 5,196.50 : x
2. Step 2: Convert to fraction form
   2,413/5,196.50 = 5,196.50/x
3. Step 3: Cross multiply
   2,413x = 5,196.50 × 5,196.50
4. Step 4: Simplify right side
   2,413x = 27,003,612.25
5. Step 5: Solve for x
   x = 27,003,612.25/2,413
6. Step 6: Final answer
   x = 11,190.89