Finding the Third Proportional to 9,870 and 15,706

Step by Step Solution

1. Step 1: Write the proportion equation
   9,870 : 15,706 = 15,706 : x
2. Step 2: Convert to fraction form
   9,870/15,706 = 15,706/x
3. Step 3: Cross multiply
   9,870x = 15,706 × 15,706
4. Step 4: Simplify right side
   9,870x = 246,678,436
5. Step 5: Solve for x
   x = 246,678,436/9,870
6. Step 6: Final answer
   x = 24,992.75