Finding the Third Proportional to 2,432 and 5,776

Step by Step Solution

1. Step 1: Write the proportion equation
   2,432 : 5,776 = 5,776 : x
2. Step 2: Convert to fraction form
   2,432/5,776 = 5,776/x
3. Step 3: Cross multiply
   2,432x = 5,776 × 5,776
4. Step 4: Simplify right side
   2,432x = 33,362,176
5. Step 5: Solve for x
   x = 33,362,176/2,432
6. Step 6: Final answer
   x = 13,718