Finding the Third Proportional to 25,600 and 37,564

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600 : 37,564 = 37,564 : x
2. Step 2: Convert to fraction form
   25,600/37,564 = 37,564/x
3. Step 3: Cross multiply
   25,600x = 37,564 × 37,564
4. Step 4: Simplify right side
   25,600x = 1,411,054,096
5. Step 5: Solve for x
   x = 1,411,054,096/25,600
6. Step 6: Final answer
   x = 55,119.30