Finding the Third Proportional to 10,722 and 23,625

Step by Step Solution

1. Step 1: Write the proportion equation
   10,722 : 23,625 = 23,625 : x
2. Step 2: Convert to fraction form
   10,722/23,625 = 23,625/x
3. Step 3: Cross multiply
   10,722x = 23,625 × 23,625
4. Step 4: Simplify right side
   10,722x = 558,140,625
5. Step 5: Solve for x
   x = 558,140,625/10,722
6. Step 6: Final answer
   x = 52,055.64