Finding the Third Proportional to 2,749.50 and 3,688.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,749.50 : 3,688.88 = 3,688.88 : x
2. Step 2: Convert to fraction form
   2,749.50/3,688.88 = 3,688.88/x
3. Step 3: Cross multiply
   2,749.50x = 3,688.88 × 3,688.88
4. Step 4: Simplify right side
   2,749.50x = 13,607,798.77
5. Step 5: Solve for x
   x = 13,607,798.77/2,749.50
6. Step 6: Final answer
   x = 4,949.19