Finding the Third Proportional to 6,584 and 10,072

Step by Step Solution

1. Step 1: Write the proportion equation
   6,584 : 10,072 = 10,072 : x
2. Step 2: Convert to fraction form
   6,584/10,072 = 10,072/x
3. Step 3: Cross multiply
   6,584x = 10,072 × 10,072
4. Step 4: Simplify right side
   6,584x = 101,445,184
5. Step 5: Solve for x
   x = 101,445,184/6,584
6. Step 6: Final answer
   x = 15,407.83