Finding the Third Proportional to 7,820 and 12,436

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820 : 12,436 = 12,436 : x
2. Step 2: Convert to fraction form
   7,820/12,436 = 12,436/x
3. Step 3: Cross multiply
   7,820x = 12,436 × 12,436
4. Step 4: Simplify right side
   7,820x = 154,654,096
5. Step 5: Solve for x
   x = 154,654,096/7,820
6. Step 6: Final answer
   x = 19,776.74