Finding the Third Proportional to 2,462.81 and 3,696.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.81 : 3,696.66 = 3,696.66 : x
2. Step 2: Convert to fraction form
   2,462.81/3,696.66 = 3,696.66/x
3. Step 3: Cross multiply
   2,462.81x = 3,696.66 × 3,696.66
4. Step 4: Simplify right side
   2,462.81x = 13,665,267.43
5. Step 5: Solve for x
   x = 13,665,267.43/2,462.81
6. Step 6: Final answer
   x = 5,548.64