Finding the Third Proportional to 10,046 and 13,662

Step by Step Solution

1. Step 1: Write the proportion equation
   10,046 : 13,662 = 13,662 : x
2. Step 2: Convert to fraction form
   10,046/13,662 = 13,662/x
3. Step 3: Cross multiply
   10,046x = 13,662 × 13,662
4. Step 4: Simplify right side
   10,046x = 186,650,244
5. Step 5: Solve for x
   x = 186,650,244/10,046
6. Step 6: Final answer
   x = 18,579.56