Finding the Third Proportional to 1,562.63 and 2,090.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.63 : 2,090.81 = 2,090.81 : x
2. Step 2: Convert to fraction form
   1,562.63/2,090.81 = 2,090.81/x
3. Step 3: Cross multiply
   1,562.63x = 2,090.81 × 2,090.81
4. Step 4: Simplify right side
   1,562.63x = 4,371,496.91
5. Step 5: Solve for x
   x = 4,371,496.91/1,562.63
6. Step 6: Final answer
   x = 2,797.53