Finding the Third Proportional to 2,452.50 and 5,788.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,452.50 : 5,788.88 = 5,788.88 : x
2. Step 2: Convert to fraction form
   2,452.50/5,788.88 = 5,788.88/x
3. Step 3: Cross multiply
   2,452.50x = 5,788.88 × 5,788.88
4. Step 4: Simplify right side
   2,452.50x = 33,511,073.77
5. Step 5: Solve for x
   x = 33,511,073.77/2,452.50
6. Step 6: Final answer
   x = 13,664.05