Finding the Third Proportional to 10,462 and 18,446

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462 : 18,446 = 18,446 : x
2. Step 2: Convert to fraction form
   10,462/18,446 = 18,446/x
3. Step 3: Cross multiply
   10,462x = 18,446 × 18,446
4. Step 4: Simplify right side
   10,462x = 340,254,916
5. Step 5: Solve for x
   x = 340,254,916/10,462
6. Step 6: Final answer
   x = 32,522.93