Finding the Third Proportional to 10,003 and 16,113

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003 : 16,113 = 16,113 : x
2. Step 2: Convert to fraction form
   10,003/16,113 = 16,113/x
3. Step 3: Cross multiply
   10,003x = 16,113 × 16,113
4. Step 4: Simplify right side
   10,003x = 259,628,769
5. Step 5: Solve for x
   x = 259,628,769/10,003
6. Step 6: Final answer
   x = 25,955.09