Finding the Third Proportional to 5,770 and 13,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,770 : 13,616.50 = 13,616.50 : x
2. Step 2: Convert to fraction form
   5,770/13,616.50 = 13,616.50/x
3. Step 3: Cross multiply
   5,770x = 13,616.50 × 13,616.50
4. Step 4: Simplify right side
   5,770x = 185,409,072.25
5. Step 5: Solve for x
   x = 185,409,072.25/5,770
6. Step 6: Final answer
   x = 32,133.29