Finding the Third Proportional to 9,820 and 15,616

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820 : 15,616 = 15,616 : x
2. Step 2: Convert to fraction form
   9,820/15,616 = 15,616/x
3. Step 3: Cross multiply
   9,820x = 15,616 × 15,616
4. Step 4: Simplify right side
   9,820x = 243,859,456
5. Step 5: Solve for x
   x = 243,859,456/9,820
6. Step 6: Final answer
   x = 24,832.94