Finding the Third Proportional to 1,646.05 and 3,522.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646.05 : 3,522.76 = 3,522.76 : x
2. Step 2: Convert to fraction form
   1,646.05/3,522.76 = 3,522.76/x
3. Step 3: Cross multiply
   1,646.05x = 3,522.76 × 3,522.76
4. Step 4: Simplify right side
   1,646.05x = 12,409,850.13
5. Step 5: Solve for x
   x = 12,409,850.13/1,646.05
6. Step 6: Final answer
   x = 7,539.17