Finding the Third Proportional to 7,447 and 10,585

Step by Step Solution

1. Step 1: Write the proportion equation
   7,447 : 10,585 = 10,585 : x
2. Step 2: Convert to fraction form
   7,447/10,585 = 10,585/x
3. Step 3: Cross multiply
   7,447x = 10,585 × 10,585
4. Step 4: Simplify right side
   7,447x = 112,042,225
5. Step 5: Solve for x
   x = 112,042,225/7,447
6. Step 6: Final answer
   x = 15,045.28