Finding the Third Proportional to 2,636.57 and 4,009.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636.57 : 4,009.32 = 4,009.32 : x
2. Step 2: Convert to fraction form
   2,636.57/4,009.32 = 4,009.32/x
3. Step 3: Cross multiply
   2,636.57x = 4,009.32 × 4,009.32
4. Step 4: Simplify right side
   2,636.57x = 16,074,663.07
5. Step 5: Solve for x
   x = 16,074,663.07/2,636.57
6. Step 6: Final answer
   x = 6,096.80