Finding the Third Proportional to 1,580.98 and 2,362.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.98 : 2,362.71 = 2,362.71 : x
2. Step 2: Convert to fraction form
   1,580.98/2,362.71 = 2,362.71/x
3. Step 3: Cross multiply
   1,580.98x = 2,362.71 × 2,362.71
4. Step 4: Simplify right side
   1,580.98x = 5,582,402.97
5. Step 5: Solve for x
   x = 5,582,402.97/1,580.98
6. Step 6: Final answer
   x = 3,530.98