Finding the Third Proportional to 12,825 and 30,564

Step by Step Solution

1. Step 1: Write the proportion equation
   12,825 : 30,564 = 30,564 : x
2. Step 2: Convert to fraction form
   12,825/30,564 = 30,564/x
3. Step 3: Cross multiply
   12,825x = 30,564 × 30,564
4. Step 4: Simplify right side
   12,825x = 934,158,096
5. Step 5: Solve for x
   x = 934,158,096/12,825
6. Step 6: Final answer
   x = 72,838.84