Finding the Third Proportional to 9,680 and 22,323

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 22,323 = 22,323 : x
2. Step 2: Convert to fraction form
   9,680/22,323 = 22,323/x
3. Step 3: Cross multiply
   9,680x = 22,323 × 22,323
4. Step 4: Simplify right side
   9,680x = 498,316,329
5. Step 5: Solve for x
   x = 498,316,329/9,680
6. Step 6: Final answer
   x = 51,478.96