Finding the Third Proportional to 3,336.50 and 5,374.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,336.50 : 5,374.63 = 5,374.63 : x
2. Step 2: Convert to fraction form
   3,336.50/5,374.63 = 5,374.63/x
3. Step 3: Cross multiply
   3,336.50x = 5,374.63 × 5,374.63
4. Step 4: Simplify right side
   3,336.50x = 28,886,593.89
5. Step 5: Solve for x
   x = 28,886,593.89/3,336.50
6. Step 6: Final answer
   x = 8,657.75