Finding the Third Proportional to 2,649.19 and 3,892.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.19 : 3,892.59 = 3,892.59 : x
2. Step 2: Convert to fraction form
   2,649.19/3,892.59 = 3,892.59/x
3. Step 3: Cross multiply
   2,649.19x = 3,892.59 × 3,892.59
4. Step 4: Simplify right side
   2,649.19x = 15,152,286.10
5. Step 5: Solve for x
   x = 15,152,286.10/2,649.19
6. Step 6: Final answer
   x = 5,719.60