Finding the Third Proportional to 2,145.75 and 4,631.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.75 : 4,631.25 = 4,631.25 : x
2. Step 2: Convert to fraction form
   2,145.75/4,631.25 = 4,631.25/x
3. Step 3: Cross multiply
   2,145.75x = 4,631.25 × 4,631.25
4. Step 4: Simplify right side
   2,145.75x = 21,448,476.56
5. Step 5: Solve for x
   x = 21,448,476.56/2,145.75
6. Step 6: Final answer
   x = 9,995.79