Finding the Third Proportional to 10,884 and 11,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,884 : 11,820 = 11,820 : x
2. Step 2: Convert to fraction form
   10,884/11,820 = 11,820/x
3. Step 3: Cross multiply
   10,884x = 11,820 × 11,820
4. Step 4: Simplify right side
   10,884x = 139,712,400
5. Step 5: Solve for x
   x = 139,712,400/10,884
6. Step 6: Final answer
   x = 12,836.49