Finding the Third Proportional to 7,802 and 12,100

Step by Step Solution

1. Step 1: Write the proportion equation
   7,802 : 12,100 = 12,100 : x
2. Step 2: Convert to fraction form
   7,802/12,100 = 12,100/x
3. Step 3: Cross multiply
   7,802x = 12,100 × 12,100
4. Step 4: Simplify right side
   7,802x = 146,410,000
5. Step 5: Solve for x
   x = 146,410,000/7,802
6. Step 6: Final answer
   x = 18,765.70