Finding the Third Proportional to 2,457.42 and 3,505.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.42 : 3,505.78 = 3,505.78 : x
2. Step 2: Convert to fraction form
   2,457.42/3,505.78 = 3,505.78/x
3. Step 3: Cross multiply
   2,457.42x = 3,505.78 × 3,505.78
4. Step 4: Simplify right side
   2,457.42x = 12,290,502.17
5. Step 5: Solve for x
   x = 12,290,502.17/2,457.42
6. Step 6: Final answer
   x = 5,001.38