Finding the Third Proportional to 10,193.63 and 16,216.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193.63 : 16,216.88 = 16,216.88 : x
2. Step 2: Convert to fraction form
   10,193.63/16,216.88 = 16,216.88/x
3. Step 3: Cross multiply
   10,193.63x = 16,216.88 × 16,216.88
4. Step 4: Simplify right side
   10,193.63x = 262,987,034.77
5. Step 5: Solve for x
   x = 262,987,034.77/10,193.63
6. Step 6: Final answer
   x = 25,799.17