Finding the Third Proportional to 15,814 and 23,820

Step by Step Solution

1. Step 1: Write the proportion equation
   15,814 : 23,820 = 23,820 : x
2. Step 2: Convert to fraction form
   15,814/23,820 = 23,820/x
3. Step 3: Cross multiply
   15,814x = 23,820 × 23,820
4. Step 4: Simplify right side
   15,814x = 567,392,400
5. Step 5: Solve for x
   x = 567,392,400/15,814
6. Step 6: Final answer
   x = 35,879.12