Finding the Third Proportional to 11,580 and 23,985

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 23,985 = 23,985 : x
2. Step 2: Convert to fraction form
   11,580/23,985 = 23,985/x
3. Step 3: Cross multiply
   11,580x = 23,985 × 23,985
4. Step 4: Simplify right side
   11,580x = 575,280,225
5. Step 5: Solve for x
   x = 575,280,225/11,580
6. Step 6: Final answer
   x = 49,678.78