Finding the Third Proportional to 10,550 and 16,463

Step by Step Solution

1. Step 1: Write the proportion equation
   10,550 : 16,463 = 16,463 : x
2. Step 2: Convert to fraction form
   10,550/16,463 = 16,463/x
3. Step 3: Cross multiply
   10,550x = 16,463 × 16,463
4. Step 4: Simplify right side
   10,550x = 271,030,369
5. Step 5: Solve for x
   x = 271,030,369/10,550
6. Step 6: Final answer
   x = 25,690.08