Finding the Third Proportional to 1,576.50 and 2,090.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,576.50 : 2,090.25 = 2,090.25 : x
2. Step 2: Convert to fraction form
   1,576.50/2,090.25 = 2,090.25/x
3. Step 3: Cross multiply
   1,576.50x = 2,090.25 × 2,090.25
4. Step 4: Simplify right side
   1,576.50x = 4,369,145.06
5. Step 5: Solve for x
   x = 4,369,145.06/1,576.50
6. Step 6: Final answer
   x = 2,771.42