Finding the Third Proportional to 2,490.81 and 3,738.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,490.81 : 3,738.62 = 3,738.62 : x
2. Step 2: Convert to fraction form
   2,490.81/3,738.62 = 3,738.62/x
3. Step 3: Cross multiply
   2,490.81x = 3,738.62 × 3,738.62
4. Step 4: Simplify right side
   2,490.81x = 13,977,254.82
5. Step 5: Solve for x
   x = 13,977,254.82/2,490.81
6. Step 6: Final answer
   x = 5,611.53