Finding the Third Proportional to 1,548.25 and 2,428.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,548.25 : 2,428.38 = 2,428.38 : x
2. Step 2: Convert to fraction form
   1,548.25/2,428.38 = 2,428.38/x
3. Step 3: Cross multiply
   1,548.25x = 2,428.38 × 2,428.38
4. Step 4: Simplify right side
   1,548.25x = 5,897,005.14
5. Step 5: Solve for x
   x = 5,897,005.14/1,548.25
6. Step 6: Final answer
   x = 3,808.82