Finding the Third Proportional to 5,757.75 and 12,335.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,757.75 : 12,335.63 = 12,335.63 : x
2. Step 2: Convert to fraction form
   5,757.75/12,335.63 = 12,335.63/x
3. Step 3: Cross multiply
   5,757.75x = 12,335.63 × 12,335.63
4. Step 4: Simplify right side
   5,757.75x = 152,167,644.14
5. Step 5: Solve for x
   x = 152,167,644.14/5,757.75
6. Step 6: Final answer
   x = 26,428.32