Finding the Third Proportional to 1,562.77 and 2,422.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.77 : 2,422.83 = 2,422.83 : x
2. Step 2: Convert to fraction form
   1,562.77/2,422.83 = 2,422.83/x
3. Step 3: Cross multiply
   1,562.77x = 2,422.83 × 2,422.83
4. Step 4: Simplify right side
   1,562.77x = 5,870,096.12
5. Step 5: Solve for x
   x = 5,870,096.12/1,562.77
6. Step 6: Final answer
   x = 3,756.22