Finding the Third Proportional to 5,877 and 10,506

Step by Step Solution

1. Step 1: Write the proportion equation
   5,877 : 10,506 = 10,506 : x
2. Step 2: Convert to fraction form
   5,877/10,506 = 10,506/x
3. Step 3: Cross multiply
   5,877x = 10,506 × 10,506
4. Step 4: Simplify right side
   5,877x = 110,376,036
5. Step 5: Solve for x
   x = 110,376,036/5,877
6. Step 6: Final answer
   x = 18,781.02