Finding the Third Proportional to 2,457.84 and 3,700.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.84 : 3,700.27 = 3,700.27 : x
2. Step 2: Convert to fraction form
   2,457.84/3,700.27 = 3,700.27/x
3. Step 3: Cross multiply
   2,457.84x = 3,700.27 × 3,700.27
4. Step 4: Simplify right side
   2,457.84x = 13,691,965.70
5. Step 5: Solve for x
   x = 13,691,965.70/2,457.84
6. Step 6: Final answer
   x = 5,570.72