Finding the Third Proportional to 2,386.34 and 3,634.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.34 : 3,634.56 = 3,634.56 : x
2. Step 2: Convert to fraction form
   2,386.34/3,634.56 = 3,634.56/x
3. Step 3: Cross multiply
   2,386.34x = 3,634.56 × 3,634.56
4. Step 4: Simplify right side
   2,386.34x = 13,210,016.17
5. Step 5: Solve for x
   x = 13,210,016.17/2,386.34
6. Step 6: Final answer
   x = 5,535.69