Finding the Third Proportional to 2,940 and 7,782

Step by Step Solution

1. Step 1: Write the proportion equation
   2,940 : 7,782 = 7,782 : x
2. Step 2: Convert to fraction form
   2,940/7,782 = 7,782/x
3. Step 3: Cross multiply
   2,940x = 7,782 × 7,782
4. Step 4: Simplify right side
   2,940x = 60,559,524
5. Step 5: Solve for x
   x = 60,559,524/2,940
6. Step 6: Final answer
   x = 20,598.48