Finding the Third Proportional to 10,345 and 13,877

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345 : 13,877 = 13,877 : x
2. Step 2: Convert to fraction form
   10,345/13,877 = 13,877/x
3. Step 3: Cross multiply
   10,345x = 13,877 × 13,877
4. Step 4: Simplify right side
   10,345x = 192,571,129
5. Step 5: Solve for x
   x = 192,571,129/10,345
6. Step 6: Final answer
   x = 18,614.90