Finding the Third Proportional to 7,589 and 10,063

Step by Step Solution

1. Step 1: Write the proportion equation
   7,589 : 10,063 = 10,063 : x
2. Step 2: Convert to fraction form
   7,589/10,063 = 10,063/x
3. Step 3: Cross multiply
   7,589x = 10,063 × 10,063
4. Step 4: Simplify right side
   7,589x = 101,263,969
5. Step 5: Solve for x
   x = 101,263,969/7,589
6. Step 6: Final answer
   x = 13,343.52