Finding the Third Proportional to 2,335.50 and 5,406.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,335.50 : 5,406.75 = 5,406.75 : x
2. Step 2: Convert to fraction form
   2,335.50/5,406.75 = 5,406.75/x
3. Step 3: Cross multiply
   2,335.50x = 5,406.75 × 5,406.75
4. Step 4: Simplify right side
   2,335.50x = 29,232,945.56
5. Step 5: Solve for x
   x = 29,232,945.56/2,335.50
6. Step 6: Final answer
   x = 12,516.78