Finding the Third Proportional to 1,593.42 and 2,237.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,593.42 : 2,237.78 = 2,237.78 : x
2. Step 2: Convert to fraction form
   1,593.42/2,237.78 = 2,237.78/x
3. Step 3: Cross multiply
   1,593.42x = 2,237.78 × 2,237.78
4. Step 4: Simplify right side
   1,593.42x = 5,007,673.66
5. Step 5: Solve for x
   x = 5,007,673.66/1,593.42
6. Step 6: Final answer
   x = 3,142.72