Finding the Third Proportional to 1,828.75 and 2,828.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.75 : 2,828.88 = 2,828.88 : x
2. Step 2: Convert to fraction form
   1,828.75/2,828.88 = 2,828.88/x
3. Step 3: Cross multiply
   1,828.75x = 2,828.88 × 2,828.88
4. Step 4: Simplify right side
   1,828.75x = 8,002,533.77
5. Step 5: Solve for x
   x = 8,002,533.77/1,828.75
6. Step 6: Final answer
   x = 4,375.96