Finding the Third Proportional to 6,942 and 10,575

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942 : 10,575 = 10,575 : x
2. Step 2: Convert to fraction form
   6,942/10,575 = 10,575/x
3. Step 3: Cross multiply
   6,942x = 10,575 × 10,575
4. Step 4: Simplify right side
   6,942x = 111,830,625
5. Step 5: Solve for x
   x = 111,830,625/6,942
6. Step 6: Final answer
   x = 16,109.28