Finding the Third Proportional to 1,546.88 and 2,396.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.88 : 2,396.81 = 2,396.81 : x
2. Step 2: Convert to fraction form
   1,546.88/2,396.81 = 2,396.81/x
3. Step 3: Cross multiply
   1,546.88x = 2,396.81 × 2,396.81
4. Step 4: Simplify right side
   1,546.88x = 5,744,710.16
5. Step 5: Solve for x
   x = 5,744,710.16/1,546.88
6. Step 6: Final answer
   x = 3,713.75