Finding the Third Proportional to 2,457.79 and 3,686.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.79 : 3,686.98 = 3,686.98 : x
2. Step 2: Convert to fraction form
   2,457.79/3,686.98 = 3,686.98/x
3. Step 3: Cross multiply
   2,457.79x = 3,686.98 × 3,686.98
4. Step 4: Simplify right side
   2,457.79x = 13,593,796.17
5. Step 5: Solve for x
   x = 13,593,796.17/2,457.79
6. Step 6: Final answer
   x = 5,530.90