Finding the Third Proportional to 6,858 and 10,464

Step by Step Solution

1. Step 1: Write the proportion equation
   6,858 : 10,464 = 10,464 : x
2. Step 2: Convert to fraction form
   6,858/10,464 = 10,464/x
3. Step 3: Cross multiply
   6,858x = 10,464 × 10,464
4. Step 4: Simplify right side
   6,858x = 109,495,296
5. Step 5: Solve for x
   x = 109,495,296/6,858
6. Step 6: Final answer
   x = 15,966.07