Finding the Third Proportional to 6,178 and 12,584

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178 : 12,584 = 12,584 : x
2. Step 2: Convert to fraction form
   6,178/12,584 = 12,584/x
3. Step 3: Cross multiply
   6,178x = 12,584 × 12,584
4. Step 4: Simplify right side
   6,178x = 158,357,056
5. Step 5: Solve for x
   x = 158,357,056/6,178
6. Step 6: Final answer
   x = 25,632.41