Finding the Third Proportional to 2,980 and 7,846

Step by Step Solution

1. Step 1: Write the proportion equation
   2,980 : 7,846 = 7,846 : x
2. Step 2: Convert to fraction form
   2,980/7,846 = 7,846/x
3. Step 3: Cross multiply
   2,980x = 7,846 × 7,846
4. Step 4: Simplify right side
   2,980x = 61,559,716
5. Step 5: Solve for x
   x = 61,559,716/2,980
6. Step 6: Final answer
   x = 20,657.62