Finding the Third Proportional to 22,205 and 43,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,205 : 43,286.50 = 43,286.50 : x
2. Step 2: Convert to fraction form
   22,205/43,286.50 = 43,286.50/x
3. Step 3: Cross multiply
   22,205x = 43,286.50 × 43,286.50
4. Step 4: Simplify right side
   22,205x = 1,873,721,082.25
5. Step 5: Solve for x
   x = 1,873,721,082.25/22,205
6. Step 6: Final answer
   x = 84,382.85