Finding the Third Proportional to 1,581.75 and 3,460.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.75 : 3,460.25 = 3,460.25 : x
2. Step 2: Convert to fraction form
   1,581.75/3,460.25 = 3,460.25/x
3. Step 3: Cross multiply
   1,581.75x = 3,460.25 × 3,460.25
4. Step 4: Simplify right side
   1,581.75x = 11,973,330.06
5. Step 5: Solve for x
   x = 11,973,330.06/1,581.75
6. Step 6: Final answer
   x = 7,569.67