Finding the Third Proportional to 1,637.38 and 3,536.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,637.38 : 3,536.25 = 3,536.25 : x
2. Step 2: Convert to fraction form
   1,637.38/3,536.25 = 3,536.25/x
3. Step 3: Cross multiply
   1,637.38x = 3,536.25 × 3,536.25
4. Step 4: Simplify right side
   1,637.38x = 12,505,064.06
5. Step 5: Solve for x
   x = 12,505,064.06/1,637.38
6. Step 6: Final answer
   x = 7,637.26