Finding the Third Proportional to 4,947 and 5,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,947 : 5,365.50 = 5,365.50 : x
2. Step 2: Convert to fraction form
   4,947/5,365.50 = 5,365.50/x
3. Step 3: Cross multiply
   4,947x = 5,365.50 × 5,365.50
4. Step 4: Simplify right side
   4,947x = 28,788,590.25
5. Step 5: Solve for x
   x = 28,788,590.25/4,947
6. Step 6: Final answer
   x = 5,819.40