Finding the Third Proportional to 6,116 and 12,596

Step by Step Solution

1. Step 1: Write the proportion equation
   6,116 : 12,596 = 12,596 : x
2. Step 2: Convert to fraction form
   6,116/12,596 = 12,596/x
3. Step 3: Cross multiply
   6,116x = 12,596 × 12,596
4. Step 4: Simplify right side
   6,116x = 158,659,216
5. Step 5: Solve for x
   x = 158,659,216/6,116
6. Step 6: Final answer
   x = 25,941.66