Finding the Third Proportional to 1,262.25 and 1,771.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.25 : 1,771.88 = 1,771.88 : x
2. Step 2: Convert to fraction form
   1,262.25/1,771.88 = 1,771.88/x
3. Step 3: Cross multiply
   1,262.25x = 1,771.88 × 1,771.88
4. Step 4: Simplify right side
   1,262.25x = 3,139,541.02
5. Step 5: Solve for x
   x = 3,139,541.02/1,262.25
6. Step 6: Final answer
   x = 2,487.26