Finding the Third Proportional to 13,084 and 30,866

Step by Step Solution

1. Step 1: Write the proportion equation
   13,084 : 30,866 = 30,866 : x
2. Step 2: Convert to fraction form
   13,084/30,866 = 30,866/x
3. Step 3: Cross multiply
   13,084x = 30,866 × 30,866
4. Step 4: Simplify right side
   13,084x = 952,709,956
5. Step 5: Solve for x
   x = 952,709,956/13,084
6. Step 6: Final answer
   x = 72,814.89