Finding the Third Proportional to 1,847.81 and 2,809.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,847.81 : 2,809.69 = 2,809.69 : x
2. Step 2: Convert to fraction form
   1,847.81/2,809.69 = 2,809.69/x
3. Step 3: Cross multiply
   1,847.81x = 2,809.69 × 2,809.69
4. Step 4: Simplify right side
   1,847.81x = 7,894,343.85
5. Step 5: Solve for x
   x = 7,894,343.85/1,847.81
6. Step 6: Final answer
   x = 4,272.26