Finding the Third Proportional to 7,758 and 11,870

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758 : 11,870 = 11,870 : x
2. Step 2: Convert to fraction form
   7,758/11,870 = 11,870/x
3. Step 3: Cross multiply
   7,758x = 11,870 × 11,870
4. Step 4: Simplify right side
   7,758x = 140,896,900
5. Step 5: Solve for x
   x = 140,896,900/7,758
6. Step 6: Final answer
   x = 18,161.50