Finding the Third Proportional to 10,816 and 23,575

Step by Step Solution

1. Step 1: Write the proportion equation
   10,816 : 23,575 = 23,575 : x
2. Step 2: Convert to fraction form
   10,816/23,575 = 23,575/x
3. Step 3: Cross multiply
   10,816x = 23,575 × 23,575
4. Step 4: Simplify right side
   10,816x = 555,780,625
5. Step 5: Solve for x
   x = 555,780,625/10,816
6. Step 6: Final answer
   x = 51,385.04