Finding the Third Proportional to 1,755.38 and 3,727.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,755.38 : 3,727.22 = 3,727.22 : x
2. Step 2: Convert to fraction form
   1,755.38/3,727.22 = 3,727.22/x
3. Step 3: Cross multiply
   1,755.38x = 3,727.22 × 3,727.22
4. Step 4: Simplify right side
   1,755.38x = 13,892,159.61
5. Step 5: Solve for x
   x = 13,892,159.61/1,755.38
6. Step 6: Final answer
   x = 7,914.07