Finding the Third Proportional to 2,926.13 and 3,699.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,926.13 : 3,699.56 = 3,699.56 : x
2. Step 2: Convert to fraction form
   2,926.13/3,699.56 = 3,699.56/x
3. Step 3: Cross multiply
   2,926.13x = 3,699.56 × 3,699.56
4. Step 4: Simplify right side
   2,926.13x = 13,686,762.69
5. Step 5: Solve for x
   x = 13,686,762.69/2,926.13
6. Step 6: Final answer
   x = 4,677.44