Finding the Third Proportional to 1,127.95 and 1,682.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,127.95 : 1,682.58 = 1,682.58 : x
2. Step 2: Convert to fraction form
   1,127.95/1,682.58 = 1,682.58/x
3. Step 3: Cross multiply
   1,127.95x = 1,682.58 × 1,682.58
4. Step 4: Simplify right side
   1,127.95x = 2,831,069.15
5. Step 5: Solve for x
   x = 2,831,069.15/1,127.95
6. Step 6: Final answer
   x = 2,509.92