Finding the Third Proportional to 8,102 and 10,946

Step by Step Solution

1. Step 1: Write the proportion equation
   8,102 : 10,946 = 10,946 : x
2. Step 2: Convert to fraction form
   8,102/10,946 = 10,946/x
3. Step 3: Cross multiply
   8,102x = 10,946 × 10,946
4. Step 4: Simplify right side
   8,102x = 119,814,916
5. Step 5: Solve for x
   x = 119,814,916/8,102
6. Step 6: Final answer
   x = 14,788.31