Finding the Third Proportional to 1,538.16 and 2,365.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.16 : 2,365.03 = 2,365.03 : x
2. Step 2: Convert to fraction form
   1,538.16/2,365.03 = 2,365.03/x
3. Step 3: Cross multiply
   1,538.16x = 2,365.03 × 2,365.03
4. Step 4: Simplify right side
   1,538.16x = 5,593,372.81
5. Step 5: Solve for x
   x = 5,593,372.81/1,538.16
6. Step 6: Final answer
   x = 3,636.41