Finding the Third Proportional to 2,784 and 3,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 3,892.50 = 3,892.50 : x
2. Step 2: Convert to fraction form
   2,784/3,892.50 = 3,892.50/x
3. Step 3: Cross multiply
   2,784x = 3,892.50 × 3,892.50
4. Step 4: Simplify right side
   2,784x = 15,151,556.25
5. Step 5: Solve for x
   x = 15,151,556.25/2,784
6. Step 6: Final answer
   x = 5,442.37