Finding the Third Proportional to 1,736.34 and 3,744.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,736.34 : 3,744.09 = 3,744.09 : x
2. Step 2: Convert to fraction form
   1,736.34/3,744.09 = 3,744.09/x
3. Step 3: Cross multiply
   1,736.34x = 3,744.09 × 3,744.09
4. Step 4: Simplify right side
   1,736.34x = 14,018,238.01
5. Step 5: Solve for x
   x = 14,018,238.01/1,736.34
6. Step 6: Final answer
   x = 8,073.42