Finding the Third Proportional to 3,400 and 5,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,400 : 5,036.50 = 5,036.50 : x
2. Step 2: Convert to fraction form
   3,400/5,036.50 = 5,036.50/x
3. Step 3: Cross multiply
   3,400x = 5,036.50 × 5,036.50
4. Step 4: Simplify right side
   3,400x = 25,366,332.25
5. Step 5: Solve for x
   x = 25,366,332.25/3,400
6. Step 6: Final answer
   x = 7,460.69