Finding the Third Proportional to 1,144.34 and 2,461.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.34 : 2,461.01 = 2,461.01 : x
2. Step 2: Convert to fraction form
   1,144.34/2,461.01 = 2,461.01/x
3. Step 3: Cross multiply
   1,144.34x = 2,461.01 × 2,461.01
4. Step 4: Simplify right side
   1,144.34x = 6,056,559.45
5. Step 5: Solve for x
   x = 6,056,559.45/1,144.34
6. Step 6: Final answer
   x = 5,292.64