Finding the Third Proportional to 10,193.50 and 16,216.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193.50 : 16,216.75 = 16,216.75 : x
2. Step 2: Convert to fraction form
   10,193.50/16,216.75 = 16,216.75/x
3. Step 3: Cross multiply
   10,193.50x = 16,216.75 × 16,216.75
4. Step 4: Simplify right side
   10,193.50x = 262,982,980.56
5. Step 5: Solve for x
   x = 262,982,980.56/10,193.50
6. Step 6: Final answer
   x = 25,799.09