Finding the Third Proportional to 2,098.41 and 4,784.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.41 : 4,784.91 = 4,784.91 : x
2. Step 2: Convert to fraction form
   2,098.41/4,784.91 = 4,784.91/x
3. Step 3: Cross multiply
   2,098.41x = 4,784.91 × 4,784.91
4. Step 4: Simplify right side
   2,098.41x = 22,895,327.82
5. Step 5: Solve for x
   x = 22,895,327.82/2,098.41
6. Step 6: Final answer
   x = 10,910.82