Finding the Third Proportional to 9,553.57 and 13,760.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,553.57 : 13,760.82 = 13,760.82 : x
2. Step 2: Convert to fraction form
   9,553.57/13,760.82 = 13,760.82/x
3. Step 3: Cross multiply
   9,553.57x = 13,760.82 × 13,760.82
4. Step 4: Simplify right side
   9,553.57x = 189,360,283.18
5. Step 5: Solve for x
   x = 189,360,283.18/9,553.57
6. Step 6: Final answer
   x = 19,820.89