Finding the Third Proportional to 17,970 and 38,706

Step by Step Solution

1. Step 1: Write the proportion equation
   17,970 : 38,706 = 38,706 : x
2. Step 2: Convert to fraction form
   17,970/38,706 = 38,706/x
3. Step 3: Cross multiply
   17,970x = 38,706 × 38,706
4. Step 4: Simplify right side
   17,970x = 1,498,154,436
5. Step 5: Solve for x
   x = 1,498,154,436/17,970
6. Step 6: Final answer
   x = 83,369.75