Finding the Third Proportional to 3,784.50 and 5,406

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.50 : 5,406 = 5,406 : x
2. Step 2: Convert to fraction form
   3,784.50/5,406 = 5,406/x
3. Step 3: Cross multiply
   3,784.50x = 5,406 × 5,406
4. Step 4: Simplify right side
   3,784.50x = 29,224,836
5. Step 5: Solve for x
   x = 29,224,836/3,784.50
6. Step 6: Final answer
   x = 7,722.24