Finding the Third Proportional to 16,364 and 34,870

Step by Step Solution

1. Step 1: Write the proportion equation
   16,364 : 34,870 = 34,870 : x
2. Step 2: Convert to fraction form
   16,364/34,870 = 34,870/x
3. Step 3: Cross multiply
   16,364x = 34,870 × 34,870
4. Step 4: Simplify right side
   16,364x = 1,215,916,900
5. Step 5: Solve for x
   x = 1,215,916,900/16,364
6. Step 6: Final answer
   x = 74,304.38