Finding the Third Proportional to 7,812 and 12,040

Step by Step Solution

1. Step 1: Write the proportion equation
   7,812 : 12,040 = 12,040 : x
2. Step 2: Convert to fraction form
   7,812/12,040 = 12,040/x
3. Step 3: Cross multiply
   7,812x = 12,040 × 12,040
4. Step 4: Simplify right side
   7,812x = 144,961,600
5. Step 5: Solve for x
   x = 144,961,600/7,812
6. Step 6: Final answer
   x = 18,556.27