Finding the Third Proportional to 2,373.75 and 4,678.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,373.75 : 4,678.31 = 4,678.31 : x
2. Step 2: Convert to fraction form
   2,373.75/4,678.31 = 4,678.31/x
3. Step 3: Cross multiply
   2,373.75x = 4,678.31 × 4,678.31
4. Step 4: Simplify right side
   2,373.75x = 21,886,607.85
5. Step 5: Solve for x
   x = 21,886,607.85/2,373.75
6. Step 6: Final answer
   x = 9,220.27