Finding the Third Proportional to 6,563 and 10,358

Step by Step Solution

1. Step 1: Write the proportion equation
   6,563 : 10,358 = 10,358 : x
2. Step 2: Convert to fraction form
   6,563/10,358 = 10,358/x
3. Step 3: Cross multiply
   6,563x = 10,358 × 10,358
4. Step 4: Simplify right side
   6,563x = 107,288,164
5. Step 5: Solve for x
   x = 107,288,164/6,563
6. Step 6: Final answer
   x = 16,347.43