Finding the Third Proportional to 25,664 and 37,607

Step by Step Solution

1. Step 1: Write the proportion equation
   25,664 : 37,607 = 37,607 : x
2. Step 2: Convert to fraction form
   25,664/37,607 = 37,607/x
3. Step 3: Cross multiply
   25,664x = 37,607 × 37,607
4. Step 4: Simplify right side
   25,664x = 1,414,286,449
5. Step 5: Solve for x
   x = 1,414,286,449/25,664
6. Step 6: Final answer
   x = 55,107.79