Finding the Third Proportional to 2,098.41 and 4,606.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.41 : 4,606.88 = 4,606.88 : x
2. Step 2: Convert to fraction form
   2,098.41/4,606.88 = 4,606.88/x
3. Step 3: Cross multiply
   2,098.41x = 4,606.88 × 4,606.88
4. Step 4: Simplify right side
   2,098.41x = 21,223,297.27
5. Step 5: Solve for x
   x = 21,223,297.27/2,098.41
6. Step 6: Final answer
   x = 10,114.01