Finding the Third Proportional to 1,581.84 and 3,407.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.84 : 3,407.06 = 3,407.06 : x
2. Step 2: Convert to fraction form
   1,581.84/3,407.06 = 3,407.06/x
3. Step 3: Cross multiply
   1,581.84x = 3,407.06 × 3,407.06
4. Step 4: Simplify right side
   1,581.84x = 11,608,074.88
5. Step 5: Solve for x
   x = 11,608,074.88/1,581.84
6. Step 6: Final answer
   x = 7,338.32