Finding the Third Proportional to 9,680 and 21,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 21,204.50 = 21,204.50 : x
2. Step 2: Convert to fraction form
   9,680/21,204.50 = 21,204.50/x
3. Step 3: Cross multiply
   9,680x = 21,204.50 × 21,204.50
4. Step 4: Simplify right side
   9,680x = 449,630,820.25
5. Step 5: Solve for x
   x = 449,630,820.25/9,680
6. Step 6: Final answer
   x = 46,449.46