Finding the Third Proportional to 1,152 and 1,776

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152 : 1,776 = 1,776 : x
2. Step 2: Convert to fraction form
   1,152/1,776 = 1,776/x
3. Step 3: Cross multiply
   1,152x = 1,776 × 1,776
4. Step 4: Simplify right side
   1,152x = 3,154,176
5. Step 5: Solve for x
   x = 3,154,176/1,152
6. Step 6: Final answer
   x = 2,738