Finding the Third Proportional to 1,084.50 and 1,682.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.50 : 1,682.63 = 1,682.63 : x
2. Step 2: Convert to fraction form
   1,084.50/1,682.63 = 1,682.63/x
3. Step 3: Cross multiply
   1,084.50x = 1,682.63 × 1,682.63
4. Step 4: Simplify right side
   1,084.50x = 2,831,226.89
5. Step 5: Solve for x
   x = 2,831,226.89/1,084.50
6. Step 6: Final answer
   x = 2,610.63