Finding the Third Proportional to 9,770.20 and 15,137.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.20 : 15,137.72 = 15,137.72 : x
2. Step 2: Convert to fraction form
   9,770.20/15,137.72 = 15,137.72/x
3. Step 3: Cross multiply
   9,770.20x = 15,137.72 × 15,137.72
4. Step 4: Simplify right side
   9,770.20x = 229,150,528.95
5. Step 5: Solve for x
   x = 229,150,528.95/9,770.20
6. Step 6: Final answer
   x = 23,454.02