Finding the Third Proportional to 9,600 and 14,632

Step by Step Solution

1. Step 1: Write the proportion equation
   9,600 : 14,632 = 14,632 : x
2. Step 2: Convert to fraction form
   9,600/14,632 = 14,632/x
3. Step 3: Cross multiply
   9,600x = 14,632 × 14,632
4. Step 4: Simplify right side
   9,600x = 214,095,424
5. Step 5: Solve for x
   x = 214,095,424/9,600
6. Step 6: Final answer
   x = 22,301.61