Finding the Third Proportional to 11,580 and 22,584

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 22,584 = 22,584 : x
2. Step 2: Convert to fraction form
   11,580/22,584 = 22,584/x
3. Step 3: Cross multiply
   11,580x = 22,584 × 22,584
4. Step 4: Simplify right side
   11,580x = 510,037,056
5. Step 5: Solve for x
   x = 510,037,056/11,580
6. Step 6: Final answer
   x = 44,044.65