Finding the Third Proportional to 7,918.13 and 12,537.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,918.13 : 12,537.38 = 12,537.38 : x
2. Step 2: Convert to fraction form
   7,918.13/12,537.38 = 12,537.38/x
3. Step 3: Cross multiply
   7,918.13x = 12,537.38 × 12,537.38
4. Step 4: Simplify right side
   7,918.13x = 157,185,771.89
5. Step 5: Solve for x
   x = 157,185,771.89/7,918.13
6. Step 6: Final answer
   x = 19,851.39