Finding the Third Proportional to 11,623.50 and 25,830

Step by Step Solution

1. Step 1: Write the proportion equation
   11,623.50 : 25,830 = 25,830 : x
2. Step 2: Convert to fraction form
   11,623.50/25,830 = 25,830/x
3. Step 3: Cross multiply
   11,623.50x = 25,830 × 25,830
4. Step 4: Simplify right side
   11,623.50x = 667,188,900
5. Step 5: Solve for x
   x = 667,188,900/11,623.50
6. Step 6: Final answer
   x = 57,400