Finding the Third Proportional to 17,760 and 38,520

Step by Step Solution

1. Step 1: Write the proportion equation
   17,760 : 38,520 = 38,520 : x
2. Step 2: Convert to fraction form
   17,760/38,520 = 38,520/x
3. Step 3: Cross multiply
   17,760x = 38,520 × 38,520
4. Step 4: Simplify right side
   17,760x = 1,483,790,400
5. Step 5: Solve for x
   x = 1,483,790,400/17,760
6. Step 6: Final answer
   x = 83,546.76