Finding the Third Proportional to 2,553.89 and 3,905.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.89 : 3,905.16 = 3,905.16 : x
2. Step 2: Convert to fraction form
   2,553.89/3,905.16 = 3,905.16/x
3. Step 3: Cross multiply
   2,553.89x = 3,905.16 × 3,905.16
4. Step 4: Simplify right side
   2,553.89x = 15,250,245.34
5. Step 5: Solve for x
   x = 15,250,245.34/2,553.89
6. Step 6: Final answer
   x = 5,971.38