Finding the Third Proportional to 6,136 and 14,152

Step by Step Solution

1. Step 1: Write the proportion equation
   6,136 : 14,152 = 14,152 : x
2. Step 2: Convert to fraction form
   6,136/14,152 = 14,152/x
3. Step 3: Cross multiply
   6,136x = 14,152 × 14,152
4. Step 4: Simplify right side
   6,136x = 200,279,104
5. Step 5: Solve for x
   x = 200,279,104/6,136
6. Step 6: Final answer
   x = 32,640.01