Finding the Third Proportional to 30,870 and 46,611

Step by Step Solution

1. Step 1: Write the proportion equation
   30,870 : 46,611 = 46,611 : x
2. Step 2: Convert to fraction form
   30,870/46,611 = 46,611/x
3. Step 3: Cross multiply
   30,870x = 46,611 × 46,611
4. Step 4: Simplify right side
   30,870x = 2,172,585,321
5. Step 5: Solve for x
   x = 2,172,585,321/30,870
6. Step 6: Final answer
   x = 70,378.53