Finding the Third Proportional to 1,569.19 and 2,327.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.19 : 2,327.81 = 2,327.81 : x
2. Step 2: Convert to fraction form
   1,569.19/2,327.81 = 2,327.81/x
3. Step 3: Cross multiply
   1,569.19x = 2,327.81 × 2,327.81
4. Step 4: Simplify right side
   1,569.19x = 5,418,711.04
5. Step 5: Solve for x
   x = 5,418,711.04/1,569.19
6. Step 6: Final answer
   x = 3,453.20