Finding the Third Proportional to 4,829.63 and 10,274.34

Step by Step Solution

1. Step 1: Write the proportion equation
   4,829.63 : 10,274.34 = 10,274.34 : x
2. Step 2: Convert to fraction form
   4,829.63/10,274.34 = 10,274.34/x
3. Step 3: Cross multiply
   4,829.63x = 10,274.34 × 10,274.34
4. Step 4: Simplify right side
   4,829.63x = 105,562,139.49
5. Step 5: Solve for x
   x = 105,562,139.49/4,829.63
6. Step 6: Final answer
   x = 21,857.21