Finding the Third Proportional to 10,585.50 and 15,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.50 : 15,544.50 = 15,544.50 : x
2. Step 2: Convert to fraction form
   10,585.50/15,544.50 = 15,544.50/x
3. Step 3: Cross multiply
   10,585.50x = 15,544.50 × 15,544.50
4. Step 4: Simplify right side
   10,585.50x = 241,631,480.25
5. Step 5: Solve for x
   x = 241,631,480.25/10,585.50
6. Step 6: Final answer
   x = 22,826.65