Finding the Third Proportional to 25,407 and 37,188

Step by Step Solution

1. Step 1: Write the proportion equation
   25,407 : 37,188 = 37,188 : x
2. Step 2: Convert to fraction form
   25,407/37,188 = 37,188/x
3. Step 3: Cross multiply
   25,407x = 37,188 × 37,188
4. Step 4: Simplify right side
   25,407x = 1,382,947,344
5. Step 5: Solve for x
   x = 1,382,947,344/25,407
6. Step 6: Final answer
   x = 54,431.74