Finding the Third Proportional to 25,588 and 37,400

Step by Step Solution

1. Step 1: Write the proportion equation
   25,588 : 37,400 = 37,400 : x
2. Step 2: Convert to fraction form
   25,588/37,400 = 37,400/x
3. Step 3: Cross multiply
   25,588x = 37,400 × 37,400
4. Step 4: Simplify right side
   25,588x = 1,398,760,000
5. Step 5: Solve for x
   x = 1,398,760,000/25,588
6. Step 6: Final answer
   x = 54,664.69