Finding the Third Proportional to 10,300 and 11,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300 : 11,916 = 11,916 : x
2. Step 2: Convert to fraction form
   10,300/11,916 = 11,916/x
3. Step 3: Cross multiply
   10,300x = 11,916 × 11,916
4. Step 4: Simplify right side
   10,300x = 141,991,056
5. Step 5: Solve for x
   x = 141,991,056/10,300
6. Step 6: Final answer
   x = 13,785.54