Finding the Third Proportional to 1,815 and 2,801.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,815 : 2,801.25 = 2,801.25 : x
2. Step 2: Convert to fraction form
   1,815/2,801.25 = 2,801.25/x
3. Step 3: Cross multiply
   1,815x = 2,801.25 × 2,801.25
4. Step 4: Simplify right side
   1,815x = 7,847,001.56
5. Step 5: Solve for x
   x = 7,847,001.56/1,815
6. Step 6: Final answer
   x = 4,323.42