Finding the Third Proportional to 3,784.50 and 5,874.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.50 : 5,874.75 = 5,874.75 : x
2. Step 2: Convert to fraction form
   3,784.50/5,874.75 = 5,874.75/x
3. Step 3: Cross multiply
   3,784.50x = 5,874.75 × 5,874.75
4. Step 4: Simplify right side
   3,784.50x = 34,512,687.56
5. Step 5: Solve for x
   x = 34,512,687.56/3,784.50
6. Step 6: Final answer
   x = 9,119.48