Finding the Third Proportional to 6,502 and 10,063

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502 : 10,063 = 10,063 : x
2. Step 2: Convert to fraction form
   6,502/10,063 = 10,063/x
3. Step 3: Cross multiply
   6,502x = 10,063 × 10,063
4. Step 4: Simplify right side
   6,502x = 101,263,969
5. Step 5: Solve for x
   x = 101,263,969/6,502
6. Step 6: Final answer
   x = 15,574.28