Finding the Third Proportional to 3,152.36 and 4,838.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,152.36 : 4,838.52 = 4,838.52 : x
2. Step 2: Convert to fraction form
   3,152.36/4,838.52 = 4,838.52/x
3. Step 3: Cross multiply
   3,152.36x = 4,838.52 × 4,838.52
4. Step 4: Simplify right side
   3,152.36x = 23,411,313.78
5. Step 5: Solve for x
   x = 23,411,313.78/3,152.36
6. Step 6: Final answer
   x = 7,426.61