Finding the Third Proportional to 15,818 and 23,684

Step by Step Solution

1. Step 1: Write the proportion equation
   15,818 : 23,684 = 23,684 : x
2. Step 2: Convert to fraction form
   15,818/23,684 = 23,684/x
3. Step 3: Cross multiply
   15,818x = 23,684 × 23,684
4. Step 4: Simplify right side
   15,818x = 560,931,856
5. Step 5: Solve for x
   x = 560,931,856/15,818
6. Step 6: Final answer
   x = 35,461.62