Finding the Third Proportional to 10,613 and 16,258

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613 : 16,258 = 16,258 : x
2. Step 2: Convert to fraction form
   10,613/16,258 = 16,258/x
3. Step 3: Cross multiply
   10,613x = 16,258 × 16,258
4. Step 4: Simplify right side
   10,613x = 264,322,564
5. Step 5: Solve for x
   x = 264,322,564/10,613
6. Step 6: Final answer
   x = 24,905.55