Finding the Third Proportional to 2,232.56 and 4,751.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,232.56 : 4,751.31 = 4,751.31 : x
2. Step 2: Convert to fraction form
   2,232.56/4,751.31 = 4,751.31/x
3. Step 3: Cross multiply
   2,232.56x = 4,751.31 × 4,751.31
4. Step 4: Simplify right side
   2,232.56x = 22,574,989.03
5. Step 5: Solve for x
   x = 22,574,989.03/2,232.56
6. Step 6: Final answer
   x = 10,111.69