Finding the Third Proportional to 9,460 and 13,258

Step by Step Solution

1. Step 1: Write the proportion equation
   9,460 : 13,258 = 13,258 : x
2. Step 2: Convert to fraction form
   9,460/13,258 = 13,258/x
3. Step 3: Cross multiply
   9,460x = 13,258 × 13,258
4. Step 4: Simplify right side
   9,460x = 175,774,564
5. Step 5: Solve for x
   x = 175,774,564/9,460
6. Step 6: Final answer
   x = 18,580.82