Finding the Third Proportional to 3,780.50 and 5,454

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.50 : 5,454 = 5,454 : x
2. Step 2: Convert to fraction form
   3,780.50/5,454 = 5,454/x
3. Step 3: Cross multiply
   3,780.50x = 5,454 × 5,454
4. Step 4: Simplify right side
   3,780.50x = 29,746,116
5. Step 5: Solve for x
   x = 29,746,116/3,780.50
6. Step 6: Final answer
   x = 7,868.30