Finding the Third Proportional to 1,086.19 and 1,638.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.19 : 1,638.56 = 1,638.56 : x
2. Step 2: Convert to fraction form
   1,086.19/1,638.56 = 1,638.56/x
3. Step 3: Cross multiply
   1,086.19x = 1,638.56 × 1,638.56
4. Step 4: Simplify right side
   1,086.19x = 2,684,887.07
5. Step 5: Solve for x
   x = 2,684,887.07/1,086.19
6. Step 6: Final answer
   x = 2,471.84