Finding the Third Proportional to 11,430 and 24,537.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,430 : 24,537.38 = 24,537.38 : x
2. Step 2: Convert to fraction form
   11,430/24,537.38 = 24,537.38/x
3. Step 3: Cross multiply
   11,430x = 24,537.38 × 24,537.38
4. Step 4: Simplify right side
   11,430x = 602,082,771.89
5. Step 5: Solve for x
   x = 602,082,771.89/11,430
6. Step 6: Final answer
   x = 52,675.66