Finding the Third Proportional to 2,575.88 and 4,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.88 : 4,597.50 = 4,597.50 : x
2. Step 2: Convert to fraction form
   2,575.88/4,597.50 = 4,597.50/x
3. Step 3: Cross multiply
   2,575.88x = 4,597.50 × 4,597.50
4. Step 4: Simplify right side
   2,575.88x = 21,137,006.25
5. Step 5: Solve for x
   x = 21,137,006.25/2,575.88
6. Step 6: Final answer
   x = 8,205.76