Finding the Third Proportional to 23,537 and 49,018

Step by Step Solution

1. Step 1: Write the proportion equation
   23,537 : 49,018 = 49,018 : x
2. Step 2: Convert to fraction form
   23,537/49,018 = 49,018/x
3. Step 3: Cross multiply
   23,537x = 49,018 × 49,018
4. Step 4: Simplify right side
   23,537x = 2,402,764,324
5. Step 5: Solve for x
   x = 2,402,764,324/23,537
6. Step 6: Final answer
   x = 102,084.56