Finding the Third Proportional to 2,503.64 and 3,927.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,503.64 : 3,927.33 = 3,927.33 : x
2. Step 2: Convert to fraction form
   2,503.64/3,927.33 = 3,927.33/x
3. Step 3: Cross multiply
   2,503.64x = 3,927.33 × 3,927.33
4. Step 4: Simplify right side
   2,503.64x = 15,423,906.20
5. Step 5: Solve for x
   x = 15,423,906.20/2,503.64
6. Step 6: Final answer
   x = 6,160.59