Finding the Third Proportional to 9,640 and 17,712

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640 : 17,712 = 17,712 : x
2. Step 2: Convert to fraction form
   9,640/17,712 = 17,712/x
3. Step 3: Cross multiply
   9,640x = 17,712 × 17,712
4. Step 4: Simplify right side
   9,640x = 313,714,944
5. Step 5: Solve for x
   x = 313,714,944/9,640
6. Step 6: Final answer
   x = 32,543.04