Finding the Third Proportional to 4,682.81 and 10,013.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,682.81 : 10,013.63 = 10,013.63 : x
2. Step 2: Convert to fraction form
   4,682.81/10,013.63 = 10,013.63/x
3. Step 3: Cross multiply
   4,682.81x = 10,013.63 × 10,013.63
4. Step 4: Simplify right side
   4,682.81x = 100,272,685.64
5. Step 5: Solve for x
   x = 100,272,685.64/4,682.81
6. Step 6: Final answer
   x = 21,412.92