Finding the Third Proportional to 11,584 and 12,772

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584 : 12,772 = 12,772 : x
2. Step 2: Convert to fraction form
   11,584/12,772 = 12,772/x
3. Step 3: Cross multiply
   11,584x = 12,772 × 12,772
4. Step 4: Simplify right side
   11,584x = 163,123,984
5. Step 5: Solve for x
   x = 163,123,984/11,584
6. Step 6: Final answer
   x = 14,081.84