Finding the Third Proportional to 1,755.42 and 3,707.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,755.42 : 3,707.02 = 3,707.02 : x
2. Step 2: Convert to fraction form
   1,755.42/3,707.02 = 3,707.02/x
3. Step 3: Cross multiply
   1,755.42x = 3,707.02 × 3,707.02
4. Step 4: Simplify right side
   1,755.42x = 13,741,964.84
5. Step 5: Solve for x
   x = 13,741,964.84/1,755.42
6. Step 6: Final answer
   x = 7,828.30