Finding the Third Proportional to 2,478.75 and 3,835.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.75 : 3,835.88 = 3,835.88 : x
2. Step 2: Convert to fraction form
   2,478.75/3,835.88 = 3,835.88/x
3. Step 3: Cross multiply
   2,478.75x = 3,835.88 × 3,835.88
4. Step 4: Simplify right side
   2,478.75x = 14,713,937.02
5. Step 5: Solve for x
   x = 14,713,937.02/2,478.75
6. Step 6: Final answer
   x = 5,936.03