Finding the Third Proportional to 10,221.75 and 20,830.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.75 : 20,830.63 = 20,830.63 : x
2. Step 2: Convert to fraction form
   10,221.75/20,830.63 = 20,830.63/x
3. Step 3: Cross multiply
   10,221.75x = 20,830.63 × 20,830.63
4. Step 4: Simplify right side
   10,221.75x = 433,914,937.89
5. Step 5: Solve for x
   x = 433,914,937.89/10,221.75
6. Step 6: Final answer
   x = 42,450.16