Finding the Third Proportional to 25,830 and 37,584

Step by Step Solution

1. Step 1: Write the proportion equation
   25,830 : 37,584 = 37,584 : x
2. Step 2: Convert to fraction form
   25,830/37,584 = 37,584/x
3. Step 3: Cross multiply
   25,830x = 37,584 × 37,584
4. Step 4: Simplify right side
   25,830x = 1,412,557,056
5. Step 5: Solve for x
   x = 1,412,557,056/25,830
6. Step 6: Final answer
   x = 54,686.68