Finding the Third Proportional to 1,162 and 2,380.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162 : 2,380.75 = 2,380.75 : x
2. Step 2: Convert to fraction form
   1,162/2,380.75 = 2,380.75/x
3. Step 3: Cross multiply
   1,162x = 2,380.75 × 2,380.75
4. Step 4: Simplify right side
   1,162x = 5,667,970.56
5. Step 5: Solve for x
   x = 5,667,970.56/1,162
6. Step 6: Final answer
   x = 4,877.77