Finding the Third Proportional to 17,870 and 38,764

Step by Step Solution

1. Step 1: Write the proportion equation
   17,870 : 38,764 = 38,764 : x
2. Step 2: Convert to fraction form
   17,870/38,764 = 38,764/x
3. Step 3: Cross multiply
   17,870x = 38,764 × 38,764
4. Step 4: Simplify right side
   17,870x = 1,502,647,696
5. Step 5: Solve for x
   x = 1,502,647,696/17,870
6. Step 6: Final answer
   x = 84,087.73