Finding the Third Proportional to 1,562.81 and 2,327.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.81 : 2,327.34 = 2,327.34 : x
2. Step 2: Convert to fraction form
   1,562.81/2,327.34 = 2,327.34/x
3. Step 3: Cross multiply
   1,562.81x = 2,327.34 × 2,327.34
4. Step 4: Simplify right side
   1,562.81x = 5,416,528.93
5. Step 5: Solve for x
   x = 5,416,528.93/1,562.81
6. Step 6: Final answer
   x = 3,465.89