Finding the Third Proportional to 30,653 and 46,870

Step by Step Solution

1. Step 1: Write the proportion equation
   30,653 : 46,870 = 46,870 : x
2. Step 2: Convert to fraction form
   30,653/46,870 = 46,870/x
3. Step 3: Cross multiply
   30,653x = 46,870 × 46,870
4. Step 4: Simplify right side
   30,653x = 2,196,796,900
5. Step 5: Solve for x
   x = 2,196,796,900/30,653
6. Step 6: Final answer
   x = 71,666.62