Finding the Third Proportional to 12,153.38 and 17,762.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,153.38 : 17,762.63 = 17,762.63 : x
2. Step 2: Convert to fraction form
   12,153.38/17,762.63 = 17,762.63/x
3. Step 3: Cross multiply
   12,153.38x = 17,762.63 × 17,762.63
4. Step 4: Simplify right side
   12,153.38x = 315,510,846.89
5. Step 5: Solve for x
   x = 315,510,846.89/12,153.38
6. Step 6: Final answer
   x = 25,960.76