Finding the Third Proportional to 11,580 and 20,664

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 20,664 = 20,664 : x
2. Step 2: Convert to fraction form
   11,580/20,664 = 20,664/x
3. Step 3: Cross multiply
   11,580x = 20,664 × 20,664
4. Step 4: Simplify right side
   11,580x = 427,000,896
5. Step 5: Solve for x
   x = 427,000,896/11,580
6. Step 6: Final answer
   x = 36,874.00