Finding the Third Proportional to 2,457.84 and 3,484.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.84 : 3,484.27 = 3,484.27 : x
2. Step 2: Convert to fraction form
   2,457.84/3,484.27 = 3,484.27/x
3. Step 3: Cross multiply
   2,457.84x = 3,484.27 × 3,484.27
4. Step 4: Simplify right side
   2,457.84x = 12,140,106.95
5. Step 5: Solve for x
   x = 12,140,106.95/2,457.84
6. Step 6: Final answer
   x = 4,939.33