Finding the Third Proportional to 1,118.81 and 1,688.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,118.81 : 1,688.34 = 1,688.34 : x
2. Step 2: Convert to fraction form
   1,118.81/1,688.34 = 1,688.34/x
3. Step 3: Cross multiply
   1,118.81x = 1,688.34 × 1,688.34
4. Step 4: Simplify right side
   1,118.81x = 2,850,504.62
5. Step 5: Solve for x
   x = 2,850,504.62/1,118.81
6. Step 6: Final answer
   x = 2,547.79