Finding the Third Proportional to 1,181.25 and 2,554.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.25 : 2,554.88 = 2,554.88 : x
2. Step 2: Convert to fraction form
   1,181.25/2,554.88 = 2,554.88/x
3. Step 3: Cross multiply
   1,181.25x = 2,554.88 × 2,554.88
4. Step 4: Simplify right side
   1,181.25x = 6,527,386.27
5. Step 5: Solve for x
   x = 6,527,386.27/1,181.25
6. Step 6: Final answer
   x = 5,525.83