Finding the Third Proportional to 25,640 and 37,864

Step by Step Solution

1. Step 1: Write the proportion equation
   25,640 : 37,864 = 37,864 : x
2. Step 2: Convert to fraction form
   25,640/37,864 = 37,864/x
3. Step 3: Cross multiply
   25,640x = 37,864 × 37,864
4. Step 4: Simplify right side
   25,640x = 1,433,682,496
5. Step 5: Solve for x
   x = 1,433,682,496/25,640
6. Step 6: Final answer
   x = 55,915.85