Finding the Third Proportional to 25,696 and 37,568

Step by Step Solution

1. Step 1: Write the proportion equation
   25,696 : 37,568 = 37,568 : x
2. Step 2: Convert to fraction form
   25,696/37,568 = 37,568/x
3. Step 3: Cross multiply
   25,696x = 37,568 × 37,568
4. Step 4: Simplify right side
   25,696x = 1,411,354,624
5. Step 5: Solve for x
   x = 1,411,354,624/25,696
6. Step 6: Final answer
   x = 54,925.07