Finding the Third Proportional to 10,289.25 and 15,406.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.25 : 15,406.88 = 15,406.88 : x
2. Step 2: Convert to fraction form
   10,289.25/15,406.88 = 15,406.88/x
3. Step 3: Cross multiply
   10,289.25x = 15,406.88 × 15,406.88
4. Step 4: Simplify right side
   10,289.25x = 237,371,797.27
5. Step 5: Solve for x
   x = 237,371,797.27/10,289.25
6. Step 6: Final answer
   x = 23,069.88