Finding the Third Proportional to 9,733.50 and 15,815.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,733.50 : 15,815.25 = 15,815.25 : x
2. Step 2: Convert to fraction form
   9,733.50/15,815.25 = 15,815.25/x
3. Step 3: Cross multiply
   9,733.50x = 15,815.25 × 15,815.25
4. Step 4: Simplify right side
   9,733.50x = 250,122,132.56
5. Step 5: Solve for x
   x = 250,122,132.56/9,733.50
6. Step 6: Final answer
   x = 25,697.04