Finding the Third Proportional to 1,536.25 and 2,308.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.25 : 2,308.38 = 2,308.38 : x
2. Step 2: Convert to fraction form
   1,536.25/2,308.38 = 2,308.38/x
3. Step 3: Cross multiply
   1,536.25x = 2,308.38 × 2,308.38
4. Step 4: Simplify right side
   1,536.25x = 5,328,595.14
5. Step 5: Solve for x
   x = 5,328,595.14/1,536.25
6. Step 6: Final answer
   x = 3,468.57