Finding the Third Proportional to 9,740 and 17,070

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 17,070 = 17,070 : x
2. Step 2: Convert to fraction form
   9,740/17,070 = 17,070/x
3. Step 3: Cross multiply
   9,740x = 17,070 × 17,070
4. Step 4: Simplify right side
   9,740x = 291,384,900
5. Step 5: Solve for x
   x = 291,384,900/9,740
6. Step 6: Final answer
   x = 29,916.31