Finding the Third Proportional to 5,409 and 10,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,409 : 10,525.50 = 10,525.50 : x
2. Step 2: Convert to fraction form
   5,409/10,525.50 = 10,525.50/x
3. Step 3: Cross multiply
   5,409x = 10,525.50 × 10,525.50
4. Step 4: Simplify right side
   5,409x = 110,786,150.25
5. Step 5: Solve for x
   x = 110,786,150.25/5,409
6. Step 6: Final answer
   x = 20,481.82