Finding the Third Proportional to 1,125 and 2,412.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,125 : 2,412.56 = 2,412.56 : x
2. Step 2: Convert to fraction form
   1,125/2,412.56 = 2,412.56/x
3. Step 3: Cross multiply
   1,125x = 2,412.56 × 2,412.56
4. Step 4: Simplify right side
   1,125x = 5,820,457.82
5. Step 5: Solve for x
   x = 5,820,457.82/1,125
6. Step 6: Final answer
   x = 5,173.74