Finding the Third Proportional to 10,825.50 and 23,462.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825.50 : 23,462.63 = 23,462.63 : x
2. Step 2: Convert to fraction form
   10,825.50/23,462.63 = 23,462.63/x
3. Step 3: Cross multiply
   10,825.50x = 23,462.63 × 23,462.63
4. Step 4: Simplify right side
   10,825.50x = 550,494,771.89
5. Step 5: Solve for x
   x = 550,494,771.89/10,825.50
6. Step 6: Final answer
   x = 50,851.67