Finding the Third Proportional to 2,263.50 and 5,157.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.50 : 5,157.56 = 5,157.56 : x
2. Step 2: Convert to fraction form
   2,263.50/5,157.56 = 5,157.56/x
3. Step 3: Cross multiply
   2,263.50x = 5,157.56 × 5,157.56
4. Step 4: Simplify right side
   2,263.50x = 26,600,450.94
5. Step 5: Solve for x
   x = 26,600,450.94/2,263.50
6. Step 6: Final answer
   x = 11,751.91