Finding the Third Proportional to 1,608.50 and 2,152

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.50 : 2,152 = 2,152 : x
2. Step 2: Convert to fraction form
   1,608.50/2,152 = 2,152/x
3. Step 3: Cross multiply
   1,608.50x = 2,152 × 2,152
4. Step 4: Simplify right side
   1,608.50x = 4,631,104
5. Step 5: Solve for x
   x = 4,631,104/1,608.50
6. Step 6: Final answer
   x = 2,879.14