Finding the Third Proportional to 5,877 and 10,446

Step by Step Solution

1. Step 1: Write the proportion equation
   5,877 : 10,446 = 10,446 : x
2. Step 2: Convert to fraction form
   5,877/10,446 = 10,446/x
3. Step 3: Cross multiply
   5,877x = 10,446 × 10,446
4. Step 4: Simplify right side
   5,877x = 109,118,916
5. Step 5: Solve for x
   x = 109,118,916/5,877
6. Step 6: Final answer
   x = 18,567.11