Finding the Third Proportional to 25,608 and 37,660

Step by Step Solution

1. Step 1: Write the proportion equation
   25,608 : 37,660 = 37,660 : x
2. Step 2: Convert to fraction form
   25,608/37,660 = 37,660/x
3. Step 3: Cross multiply
   25,608x = 37,660 × 37,660
4. Step 4: Simplify right side
   25,608x = 1,418,275,600
5. Step 5: Solve for x
   x = 1,418,275,600/25,608
6. Step 6: Final answer
   x = 55,384.08