Finding the Third Proportional to 10,498 and 19,340

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498 : 19,340 = 19,340 : x
2. Step 2: Convert to fraction form
   10,498/19,340 = 19,340/x
3. Step 3: Cross multiply
   10,498x = 19,340 × 19,340
4. Step 4: Simplify right side
   10,498x = 374,035,600
5. Step 5: Solve for x
   x = 374,035,600/10,498
6. Step 6: Final answer
   x = 35,629.22