Finding the Third Proportional to 10,025 and 13,593

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025 : 13,593 = 13,593 : x
2. Step 2: Convert to fraction form
   10,025/13,593 = 13,593/x
3. Step 3: Cross multiply
   10,025x = 13,593 × 13,593
4. Step 4: Simplify right side
   10,025x = 184,769,649
5. Step 5: Solve for x
   x = 184,769,649/10,025
6. Step 6: Final answer
   x = 18,430.89