Finding the Third Proportional to 10,158.25 and 16,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.25 : 16,221.50 = 16,221.50 : x
2. Step 2: Convert to fraction form
   10,158.25/16,221.50 = 16,221.50/x
3. Step 3: Cross multiply
   10,158.25x = 16,221.50 × 16,221.50
4. Step 4: Simplify right side
   10,158.25x = 263,137,062.25
5. Step 5: Solve for x
   x = 263,137,062.25/10,158.25
6. Step 6: Final answer
   x = 25,903.78