Finding the Third Proportional to 10,584.50 and 15,824.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.50 : 15,824.75 = 15,824.75 : x
2. Step 2: Convert to fraction form
   10,584.50/15,824.75 = 15,824.75/x
3. Step 3: Cross multiply
   10,584.50x = 15,824.75 × 15,824.75
4. Step 4: Simplify right side
   10,584.50x = 250,422,712.56
5. Step 5: Solve for x
   x = 250,422,712.56/10,584.50
6. Step 6: Final answer
   x = 23,659.38