Finding the Third Proportional to 10,498 and 17,070

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498 : 17,070 = 17,070 : x
2. Step 2: Convert to fraction form
   10,498/17,070 = 17,070/x
3. Step 3: Cross multiply
   10,498x = 17,070 × 17,070
4. Step 4: Simplify right side
   10,498x = 291,384,900
5. Step 5: Solve for x
   x = 291,384,900/10,498
6. Step 6: Final answer
   x = 27,756.23