Finding the Third Proportional to 11,392 and 12,580

Step by Step Solution

1. Step 1: Write the proportion equation
   11,392 : 12,580 = 12,580 : x
2. Step 2: Convert to fraction form
   11,392/12,580 = 12,580/x
3. Step 3: Cross multiply
   11,392x = 12,580 × 12,580
4. Step 4: Simplify right side
   11,392x = 158,256,400
5. Step 5: Solve for x
   x = 158,256,400/11,392
6. Step 6: Final answer
   x = 13,891.89