Finding the Third Proportional to 10,200 and 19,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200 : 19,152 = 19,152 : x
2. Step 2: Convert to fraction form
   10,200/19,152 = 19,152/x
3. Step 3: Cross multiply
   10,200x = 19,152 × 19,152
4. Step 4: Simplify right side
   10,200x = 366,799,104
5. Step 5: Solve for x
   x = 366,799,104/10,200
6. Step 6: Final answer
   x = 35,960.70