Finding the Third Proportional to 11,830.50 and 25,965

Step by Step Solution

1. Step 1: Write the proportion equation
   11,830.50 : 25,965 = 25,965 : x
2. Step 2: Convert to fraction form
   11,830.50/25,965 = 25,965/x
3. Step 3: Cross multiply
   11,830.50x = 25,965 × 25,965
4. Step 4: Simplify right side
   11,830.50x = 674,181,225
5. Step 5: Solve for x
   x = 674,181,225/11,830.50
6. Step 6: Final answer
   x = 56,986.71