Finding the Third Proportional to 10,200 and 15,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200 : 15,682.50 = 15,682.50 : x
2. Step 2: Convert to fraction form
   10,200/15,682.50 = 15,682.50/x
3. Step 3: Cross multiply
   10,200x = 15,682.50 × 15,682.50
4. Step 4: Simplify right side
   10,200x = 245,940,806.25
5. Step 5: Solve for x
   x = 245,940,806.25/10,200
6. Step 6: Final answer
   x = 24,111.84