Finding the Third Proportional to 11,380 and 12,586

Step by Step Solution

1. Step 1: Write the proportion equation
   11,380 : 12,586 = 12,586 : x
2. Step 2: Convert to fraction form
   11,380/12,586 = 12,586/x
3. Step 3: Cross multiply
   11,380x = 12,586 × 12,586
4. Step 4: Simplify right side
   11,380x = 158,407,396
5. Step 5: Solve for x
   x = 158,407,396/11,380
6. Step 6: Final answer
   x = 13,919.81