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

Step by Step Solution

1. Step 1: Write the proportion equation
   17,764 : 38,870 = 38,870 : x
2. Step 2: Convert to fraction form
   17,764/38,870 = 38,870/x
3. Step 3: Cross multiply
   17,764x = 38,870 × 38,870
4. Step 4: Simplify right side
   17,764x = 1,510,876,900
5. Step 5: Solve for x
   x = 1,510,876,900/17,764
6. Step 6: Final answer
   x = 85,052.74