Finding the Third Proportional to 17,838 and 38,970

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 38,970 = 38,970 : x
2. Step 2: Convert to fraction form
   17,838/38,970 = 38,970/x
3. Step 3: Cross multiply
   17,838x = 38,970 × 38,970
4. Step 4: Simplify right side
   17,838x = 1,518,660,900
5. Step 5: Solve for x
   x = 1,518,660,900/17,838
6. Step 6: Final answer
   x = 85,136.28