Finding the Third Proportional to 10,540.50 and 23,415

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.50 : 23,415 = 23,415 : x
2. Step 2: Convert to fraction form
   10,540.50/23,415 = 23,415/x
3. Step 3: Cross multiply
   10,540.50x = 23,415 × 23,415
4. Step 4: Simplify right side
   10,540.50x = 548,262,225
5. Step 5: Solve for x
   x = 548,262,225/10,540.50
6. Step 6: Final answer
   x = 52,014.82