Finding the Third Proportional to 10,185 and 22,071

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 22,071 = 22,071 : x
2. Step 2: Convert to fraction form
   10,185/22,071 = 22,071/x
3. Step 3: Cross multiply
   10,185x = 22,071 × 22,071
4. Step 4: Simplify right side
   10,185x = 487,129,041
5. Step 5: Solve for x
   x = 487,129,041/10,185
6. Step 6: Final answer
   x = 47,828.08