Finding the Third Proportional to 10,384 and 20,726

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 20,726 = 20,726 : x
2. Step 2: Convert to fraction form
   10,384/20,726 = 20,726/x
3. Step 3: Cross multiply
   10,384x = 20,726 × 20,726
4. Step 4: Simplify right side
   10,384x = 429,567,076
5. Step 5: Solve for x
   x = 429,567,076/10,384
6. Step 6: Final answer
   x = 41,368.17