Finding the Third Proportional to 3,677.25 and 7,168.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.25 : 7,168.88 = 7,168.88 : x
2. Step 2: Convert to fraction form
   3,677.25/7,168.88 = 7,168.88/x
3. Step 3: Cross multiply
   3,677.25x = 7,168.88 × 7,168.88
4. Step 4: Simplify right side
   3,677.25x = 51,392,768.77
5. Step 5: Solve for x
   x = 51,392,768.77/3,677.25
6. Step 6: Final answer
   x = 13,975.87