Finding the Third Proportional to 1,605.75 and 3,337.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.75 : 3,337.88 = 3,337.88 : x
2. Step 2: Convert to fraction form
   1,605.75/3,337.88 = 3,337.88/x
3. Step 3: Cross multiply
   1,605.75x = 3,337.88 × 3,337.88
4. Step 4: Simplify right side
   1,605.75x = 11,141,409.52
5. Step 5: Solve for x
   x = 11,141,409.52/1,605.75
6. Step 6: Final answer
   x = 6,938.45