Finding the Third Proportional to 10,584 and 25,072

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 25,072 = 25,072 : x
2. Step 2: Convert to fraction form
   10,584/25,072 = 25,072/x
3. Step 3: Cross multiply
   10,584x = 25,072 × 25,072
4. Step 4: Simplify right side
   10,584x = 628,605,184
5. Step 5: Solve for x
   x = 628,605,184/10,584
6. Step 6: Final answer
   x = 59,392.02