Finding the Third Proportional to 6,185 and 12,586

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185 : 12,586 = 12,586 : x
2. Step 2: Convert to fraction form
   6,185/12,586 = 12,586/x
3. Step 3: Cross multiply
   6,185x = 12,586 × 12,586
4. Step 4: Simplify right side
   6,185x = 158,407,396
5. Step 5: Solve for x
   x = 158,407,396/6,185
6. Step 6: Final answer
   x = 25,611.54