Finding the Third Proportional to 1,152 and 1,506

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152 : 1,506 = 1,506 : x
2. Step 2: Convert to fraction form
   1,152/1,506 = 1,506/x
3. Step 3: Cross multiply
   1,152x = 1,506 × 1,506
4. Step 4: Simplify right side
   1,152x = 2,268,036
5. Step 5: Solve for x
   x = 2,268,036/1,152
6. Step 6: Final answer
   x = 1,968.78