Finding the Third Proportional to 7,026 and 10,250

Step by Step Solution

1. Step 1: Write the proportion equation
   7,026 : 10,250 = 10,250 : x
2. Step 2: Convert to fraction form
   7,026/10,250 = 10,250/x
3. Step 3: Cross multiply
   7,026x = 10,250 × 10,250
4. Step 4: Simplify right side
   7,026x = 105,062,500
5. Step 5: Solve for x
   x = 105,062,500/7,026
6. Step 6: Final answer
   x = 14,953.39