Finding the Third Proportional to 10,684 and 22,946

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 22,946 = 22,946 : x
2. Step 2: Convert to fraction form
   10,684/22,946 = 22,946/x
3. Step 3: Cross multiply
   10,684x = 22,946 × 22,946
4. Step 4: Simplify right side
   10,684x = 526,518,916
5. Step 5: Solve for x
   x = 526,518,916/10,684
6. Step 6: Final answer
   x = 49,281.07