Finding the Third Proportional to 4,682.81 and 10,071.84

Step by Step Solution

1. Step 1: Write the proportion equation
   4,682.81 : 10,071.84 = 10,071.84 : x
2. Step 2: Convert to fraction form
   4,682.81/10,071.84 = 10,071.84/x
3. Step 3: Cross multiply
   4,682.81x = 10,071.84 × 10,071.84
4. Step 4: Simplify right side
   4,682.81x = 101,442,036.52
5. Step 5: Solve for x
   x = 101,442,036.52/4,682.81
6. Step 6: Final answer
   x = 21,662.63