Finding the Third Proportional to 3,663.38 and 5,426.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,663.38 : 5,426.63 = 5,426.63 : x
2. Step 2: Convert to fraction form
   3,663.38/5,426.63 = 5,426.63/x
3. Step 3: Cross multiply
   3,663.38x = 5,426.63 × 5,426.63
4. Step 4: Simplify right side
   3,663.38x = 29,448,258.89
5. Step 5: Solve for x
   x = 29,448,258.89/3,663.38
6. Step 6: Final answer
   x = 8,038.56