Finding the Third Proportional to 9,820 and 15,726

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820 : 15,726 = 15,726 : x
2. Step 2: Convert to fraction form
   9,820/15,726 = 15,726/x
3. Step 3: Cross multiply
   9,820x = 15,726 × 15,726
4. Step 4: Simplify right side
   9,820x = 247,307,076
5. Step 5: Solve for x
   x = 247,307,076/9,820
6. Step 6: Final answer
   x = 25,184.02