Finding the Third Proportional to 9,678.38 and 21,200.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.38 : 21,200.63 = 21,200.63 : x
2. Step 2: Convert to fraction form
   9,678.38/21,200.63 = 21,200.63/x
3. Step 3: Cross multiply
   9,678.38x = 21,200.63 × 21,200.63
4. Step 4: Simplify right side
   9,678.38x = 449,466,500.39
5. Step 5: Solve for x
   x = 449,466,500.39/9,678.38
6. Step 6: Final answer
   x = 46,440.29