Finding the Third Proportional to 4,102 and 10,152

Step by Step Solution

1. Step 1: Write the proportion equation
   4,102 : 10,152 = 10,152 : x
2. Step 2: Convert to fraction form
   4,102/10,152 = 10,152/x
3. Step 3: Cross multiply
   4,102x = 10,152 × 10,152
4. Step 4: Simplify right side
   4,102x = 103,063,104
5. Step 5: Solve for x
   x = 103,063,104/4,102
6. Step 6: Final answer
   x = 25,125.09