Finding the Third Proportional to 1,196.38 and 2,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.38 : 2,537.50 = 2,537.50 : x
2. Step 2: Convert to fraction form
   1,196.38/2,537.50 = 2,537.50/x
3. Step 3: Cross multiply
   1,196.38x = 2,537.50 × 2,537.50
4. Step 4: Simplify right side
   1,196.38x = 6,438,906.25
5. Step 5: Solve for x
   x = 6,438,906.25/1,196.38
6. Step 6: Final answer
   x = 5,382.01