Finding the Third Proportional to 6,444 and 10,263

Step by Step Solution

1. Step 1: Write the proportion equation
   6,444 : 10,263 = 10,263 : x
2. Step 2: Convert to fraction form
   6,444/10,263 = 10,263/x
3. Step 3: Cross multiply
   6,444x = 10,263 × 10,263
4. Step 4: Simplify right side
   6,444x = 105,329,169
5. Step 5: Solve for x
   x = 105,329,169/6,444
6. Step 6: Final answer
   x = 16,345.31