Finding the Third Proportional to 27,584 and 37,560

Step by Step Solution

1. Step 1: Write the proportion equation
   27,584 : 37,560 = 37,560 : x
2. Step 2: Convert to fraction form
   27,584/37,560 = 37,560/x
3. Step 3: Cross multiply
   27,584x = 37,560 × 37,560
4. Step 4: Simplify right side
   27,584x = 1,410,753,600
5. Step 5: Solve for x
   x = 1,410,753,600/27,584
6. Step 6: Final answer
   x = 51,143.91