Finding the Third Proportional to 1,588.78 and 2,430.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.78 : 2,430.42 = 2,430.42 : x
2. Step 2: Convert to fraction form
   1,588.78/2,430.42 = 2,430.42/x
3. Step 3: Cross multiply
   1,588.78x = 2,430.42 × 2,430.42
4. Step 4: Simplify right side
   1,588.78x = 5,906,950.49
5. Step 5: Solve for x
   x = 5,906,950.49/1,588.78
6. Step 6: Final answer
   x = 3,717.91