Finding the Third Proportional to 1,695.78 and 3,442.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,695.78 : 3,442.82 = 3,442.82 : x
2. Step 2: Convert to fraction form
   1,695.78/3,442.82 = 3,442.82/x
3. Step 3: Cross multiply
   1,695.78x = 3,442.82 × 3,442.82
4. Step 4: Simplify right side
   1,695.78x = 11,852,984.81
5. Step 5: Solve for x
   x = 11,852,984.81/1,695.78
6. Step 6: Final answer
   x = 6,989.70