Finding the Third Proportional to 10,026 and 21,726

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 21,726 = 21,726 : x
2. Step 2: Convert to fraction form
   10,026/21,726 = 21,726/x
3. Step 3: Cross multiply
   10,026x = 21,726 × 21,726
4. Step 4: Simplify right side
   10,026x = 472,019,076
5. Step 5: Solve for x
   x = 472,019,076/10,026
6. Step 6: Final answer
   x = 47,079.50