Finding the Third Proportional to 1,086.54 and 1,634.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.54 : 1,634.87 = 1,634.87 : x
2. Step 2: Convert to fraction form
   1,086.54/1,634.87 = 1,634.87/x
3. Step 3: Cross multiply
   1,086.54x = 1,634.87 × 1,634.87
4. Step 4: Simplify right side
   1,086.54x = 2,672,803.49
5. Step 5: Solve for x
   x = 2,672,803.49/1,086.54
6. Step 6: Final answer
   x = 2,459.92