Finding the Third Proportional to 2,265.75 and 4,804.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,265.75 : 4,804.88 = 4,804.88 : x
2. Step 2: Convert to fraction form
   2,265.75/4,804.88 = 4,804.88/x
3. Step 3: Cross multiply
   2,265.75x = 4,804.88 × 4,804.88
4. Step 4: Simplify right side
   2,265.75x = 23,086,823.77
5. Step 5: Solve for x
   x = 23,086,823.77/2,265.75
6. Step 6: Final answer
   x = 10,189.48