Finding the Third Proportional to 10,498 and 19,316

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498 : 19,316 = 19,316 : x
2. Step 2: Convert to fraction form
   10,498/19,316 = 19,316/x
3. Step 3: Cross multiply
   10,498x = 19,316 × 19,316
4. Step 4: Simplify right side
   10,498x = 373,107,856
5. Step 5: Solve for x
   x = 373,107,856/10,498
6. Step 6: Final answer
   x = 35,540.85