Finding the Third Proportional to 6,814 and 12,152

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814 : 12,152 = 12,152 : x
2. Step 2: Convert to fraction form
   6,814/12,152 = 12,152/x
3. Step 3: Cross multiply
   6,814x = 12,152 × 12,152
4. Step 4: Simplify right side
   6,814x = 147,671,104
5. Step 5: Solve for x
   x = 147,671,104/6,814
6. Step 6: Final answer
   x = 21,671.72