Finding the Third Proportional to 9,705 and 23,520

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705 : 23,520 = 23,520 : x
2. Step 2: Convert to fraction form
   9,705/23,520 = 23,520/x
3. Step 3: Cross multiply
   9,705x = 23,520 × 23,520
4. Step 4: Simplify right side
   9,705x = 553,190,400
5. Step 5: Solve for x
   x = 553,190,400/9,705
6. Step 6: Final answer
   x = 57,000.56