Finding the Third Proportional to 2,735.25 and 3,670.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,735.25 : 3,670.88 = 3,670.88 : x
2. Step 2: Convert to fraction form
   2,735.25/3,670.88 = 3,670.88/x
3. Step 3: Cross multiply
   2,735.25x = 3,670.88 × 3,670.88
4. Step 4: Simplify right side
   2,735.25x = 13,475,323.27
5. Step 5: Solve for x
   x = 13,475,323.27/2,735.25
6. Step 6: Final answer
   x = 4,926.54