Finding the Third Proportional to 10,026 and 14,751

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 14,751 = 14,751 : x
2. Step 2: Convert to fraction form
   10,026/14,751 = 14,751/x
3. Step 3: Cross multiply
   10,026x = 14,751 × 14,751
4. Step 4: Simplify right side
   10,026x = 217,592,001
5. Step 5: Solve for x
   x = 217,592,001/10,026
6. Step 6: Final answer
   x = 21,702.77