Finding the Third Proportional to 22,684 and 34,051

Step by Step Solution

1. Step 1: Write the proportion equation
   22,684 : 34,051 = 34,051 : x
2. Step 2: Convert to fraction form
   22,684/34,051 = 34,051/x
3. Step 3: Cross multiply
   22,684x = 34,051 × 34,051
4. Step 4: Simplify right side
   22,684x = 1,159,470,601
5. Step 5: Solve for x
   x = 1,159,470,601/22,684
6. Step 6: Final answer
   x = 51,114.03