Finding the Third Proportional to 8,003 and 10,534

Step by Step Solution

1. Step 1: Write the proportion equation
   8,003 : 10,534 = 10,534 : x
2. Step 2: Convert to fraction form
   8,003/10,534 = 10,534/x
3. Step 3: Cross multiply
   8,003x = 10,534 × 10,534
4. Step 4: Simplify right side
   8,003x = 110,965,156
5. Step 5: Solve for x
   x = 110,965,156/8,003
6. Step 6: Final answer
   x = 13,865.44