Finding the Third Proportional to 5,945 and 13,025

Step by Step Solution

1. Step 1: Write the proportion equation
   5,945 : 13,025 = 13,025 : x
2. Step 2: Convert to fraction form
   5,945/13,025 = 13,025/x
3. Step 3: Cross multiply
   5,945x = 13,025 × 13,025
4. Step 4: Simplify right side
   5,945x = 169,650,625
5. Step 5: Solve for x
   x = 169,650,625/5,945
6. Step 6: Final answer
   x = 28,536.69