Finding the Third Proportional to 23,540 and 34,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,540 : 34,524.50 = 34,524.50 : x
2. Step 2: Convert to fraction form
   23,540/34,524.50 = 34,524.50/x
3. Step 3: Cross multiply
   23,540x = 34,524.50 × 34,524.50
4. Step 4: Simplify right side
   23,540x = 1,191,941,100.25
5. Step 5: Solve for x
   x = 1,191,941,100.25/23,540
6. Step 6: Final answer
   x = 50,634.71