Finding the Third Proportional to 5,770.50 and 12,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,770.50 : 12,619.50 = 12,619.50 : x
2. Step 2: Convert to fraction form
   5,770.50/12,619.50 = 12,619.50/x
3. Step 3: Cross multiply
   5,770.50x = 12,619.50 × 12,619.50
4. Step 4: Simplify right side
   5,770.50x = 159,251,780.25
5. Step 5: Solve for x
   x = 159,251,780.25/5,770.50
6. Step 6: Final answer
   x = 27,597.57