Finding the Third Proportional to 1,580 and 2,308

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580 : 2,308 = 2,308 : x
2. Step 2: Convert to fraction form
   1,580/2,308 = 2,308/x
3. Step 3: Cross multiply
   1,580x = 2,308 × 2,308
4. Step 4: Simplify right side
   1,580x = 5,326,864
5. Step 5: Solve for x
   x = 5,326,864/1,580
6. Step 6: Final answer
   x = 3,371.43