Finding the Third Proportional to 10,520 and 13,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520 : 13,916 = 13,916 : x
2. Step 2: Convert to fraction form
   10,520/13,916 = 13,916/x
3. Step 3: Cross multiply
   10,520x = 13,916 × 13,916
4. Step 4: Simplify right side
   10,520x = 193,655,056
5. Step 5: Solve for x
   x = 193,655,056/10,520
6. Step 6: Final answer
   x = 18,408.28