Finding the Third Proportional to 2,424.75 and 5,156.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424.75 : 5,156.25 = 5,156.25 : x
2. Step 2: Convert to fraction form
   2,424.75/5,156.25 = 5,156.25/x
3. Step 3: Cross multiply
   2,424.75x = 5,156.25 × 5,156.25
4. Step 4: Simplify right side
   2,424.75x = 26,586,914.06
5. Step 5: Solve for x
   x = 26,586,914.06/2,424.75
6. Step 6: Final answer
   x = 10,964.81