Finding the Third Proportional to 1,215.75 and 1,775.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.75 : 1,775.63 = 1,775.63 : x
2. Step 2: Convert to fraction form
   1,215.75/1,775.63 = 1,775.63/x
3. Step 3: Cross multiply
   1,215.75x = 1,775.63 × 1,775.63
4. Step 4: Simplify right side
   1,215.75x = 3,152,844.14
5. Step 5: Solve for x
   x = 3,152,844.14/1,215.75
6. Step 6: Final answer
   x = 2,593.33