Finding the Third Proportional to 1,809.11 and 2,706.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,809.11 : 2,706.06 = 2,706.06 : x
2. Step 2: Convert to fraction form
   1,809.11/2,706.06 = 2,706.06/x
3. Step 3: Cross multiply
   1,809.11x = 2,706.06 × 2,706.06
4. Step 4: Simplify right side
   1,809.11x = 7,322,784.82
5. Step 5: Solve for x
   x = 7,322,784.82/1,809.11
6. Step 6: Final answer
   x = 4,047.74