Finding the Third Proportional to 9,205.50 and 19,882

Step by Step Solution

1. Step 1: Write the proportion equation
   9,205.50 : 19,882 = 19,882 : x
2. Step 2: Convert to fraction form
   9,205.50/19,882 = 19,882/x
3. Step 3: Cross multiply
   9,205.50x = 19,882 × 19,882
4. Step 4: Simplify right side
   9,205.50x = 395,293,924
5. Step 5: Solve for x
   x = 395,293,924/9,205.50
6. Step 6: Final answer
   x = 42,941.06