Finding the Third Proportional to 25,446 and 37,013

Step by Step Solution

1. Step 1: Write the proportion equation
   25,446 : 37,013 = 37,013 : x
2. Step 2: Convert to fraction form
   25,446/37,013 = 37,013/x
3. Step 3: Cross multiply
   25,446x = 37,013 × 37,013
4. Step 4: Simplify right side
   25,446x = 1,369,962,169
5. Step 5: Solve for x
   x = 1,369,962,169/25,446
6. Step 6: Final answer
   x = 53,838.02