Finding the Third Proportional to 10,413 and 18,522

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413 : 18,522 = 18,522 : x
2. Step 2: Convert to fraction form
   10,413/18,522 = 18,522/x
3. Step 3: Cross multiply
   10,413x = 18,522 × 18,522
4. Step 4: Simplify right side
   10,413x = 343,064,484
5. Step 5: Solve for x
   x = 343,064,484/10,413
6. Step 6: Final answer
   x = 32,945.79