Finding the Third Proportional to 2,476.50 and 3,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,476.50 : 3,763.50 = 3,763.50 : x
2. Step 2: Convert to fraction form
   2,476.50/3,763.50 = 3,763.50/x
3. Step 3: Cross multiply
   2,476.50x = 3,763.50 × 3,763.50
4. Step 4: Simplify right side
   2,476.50x = 14,163,932.25
5. Step 5: Solve for x
   x = 14,163,932.25/2,476.50
6. Step 6: Final answer
   x = 5,719.33