Finding the Third Proportional to 2,346 and 3,526

Step by Step Solution

1. Step 1: Write the proportion equation
   2,346 : 3,526 = 3,526 : x
2. Step 2: Convert to fraction form
   2,346/3,526 = 3,526/x
3. Step 3: Cross multiply
   2,346x = 3,526 × 3,526
4. Step 4: Simplify right side
   2,346x = 12,432,676
5. Step 5: Solve for x
   x = 12,432,676/2,346
6. Step 6: Final answer
   x = 5,299.52