Finding the Third Proportional to 25,899.75 and 37,270.13

Step by Step Solution

1. Step 1: Write the proportion equation
   25,899.75 : 37,270.13 = 37,270.13 : x
2. Step 2: Convert to fraction form
   25,899.75/37,270.13 = 37,270.13/x
3. Step 3: Cross multiply
   25,899.75x = 37,270.13 × 37,270.13
4. Step 4: Simplify right side
   25,899.75x = 1,389,062,217.52
5. Step 5: Solve for x
   x = 1,389,062,217.52/25,899.75
6. Step 6: Final answer
   x = 53,632.26