Finding the Third Proportional to 1,548.56 and 2,309.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,548.56 : 2,309.34 = 2,309.34 : x
2. Step 2: Convert to fraction form
   1,548.56/2,309.34 = 2,309.34/x
3. Step 3: Cross multiply
   1,548.56x = 2,309.34 × 2,309.34
4. Step 4: Simplify right side
   1,548.56x = 5,333,068.56
5. Step 5: Solve for x
   x = 5,333,068.56/1,548.56
6. Step 6: Final answer
   x = 3,443.88