Finding the Third Proportional to 22,646 and 30,585

Step by Step Solution

1. Step 1: Write the proportion equation
   22,646 : 30,585 = 30,585 : x
2. Step 2: Convert to fraction form
   22,646/30,585 = 30,585/x
3. Step 3: Cross multiply
   22,646x = 30,585 × 30,585
4. Step 4: Simplify right side
   22,646x = 935,442,225
5. Step 5: Solve for x
   x = 935,442,225/22,646
6. Step 6: Final answer
   x = 41,307.17