Finding the Third Proportional to 12,258 and 16,298

Step by Step Solution

1. Step 1: Write the proportion equation
   12,258 : 16,298 = 16,298 : x
2. Step 2: Convert to fraction form
   12,258/16,298 = 16,298/x
3. Step 3: Cross multiply
   12,258x = 16,298 × 16,298
4. Step 4: Simplify right side
   12,258x = 265,624,804
5. Step 5: Solve for x
   x = 265,624,804/12,258
6. Step 6: Final answer
   x = 21,669.51