Finding the Third Proportional to 7,465 and 10,463

Step by Step Solution

1. Step 1: Write the proportion equation
   7,465 : 10,463 = 10,463 : x
2. Step 2: Convert to fraction form
   7,465/10,463 = 10,463/x
3. Step 3: Cross multiply
   7,465x = 10,463 × 10,463
4. Step 4: Simplify right side
   7,465x = 109,474,369
5. Step 5: Solve for x
   x = 109,474,369/7,465
6. Step 6: Final answer
   x = 14,665.02