Finding the Third Proportional to 10,385 and 22,706

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385 : 22,706 = 22,706 : x
2. Step 2: Convert to fraction form
   10,385/22,706 = 22,706/x
3. Step 3: Cross multiply
   10,385x = 22,706 × 22,706
4. Step 4: Simplify right side
   10,385x = 515,562,436
5. Step 5: Solve for x
   x = 515,562,436/10,385
6. Step 6: Final answer
   x = 49,644.91