Finding the Third Proportional to 12,298 and 19,343

Step by Step Solution

1. Step 1: Write the proportion equation
   12,298 : 19,343 = 19,343 : x
2. Step 2: Convert to fraction form
   12,298/19,343 = 19,343/x
3. Step 3: Cross multiply
   12,298x = 19,343 × 19,343
4. Step 4: Simplify right side
   12,298x = 374,151,649
5. Step 5: Solve for x
   x = 374,151,649/12,298
6. Step 6: Final answer
   x = 30,423.78