Finding the Third Proportional to 1,152 and 1,656

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152 : 1,656 = 1,656 : x
2. Step 2: Convert to fraction form
   1,152/1,656 = 1,656/x
3. Step 3: Cross multiply
   1,152x = 1,656 × 1,656
4. Step 4: Simplify right side
   1,152x = 2,742,336
5. Step 5: Solve for x
   x = 2,742,336/1,152
6. Step 6: Final answer
   x = 2,380.50