Finding the Third Proportional to 9,050 and 19,564

Step by Step Solution

1. Step 1: Write the proportion equation
   9,050 : 19,564 = 19,564 : x
2. Step 2: Convert to fraction form
   9,050/19,564 = 19,564/x
3. Step 3: Cross multiply
   9,050x = 19,564 × 19,564
4. Step 4: Simplify right side
   9,050x = 382,750,096
5. Step 5: Solve for x
   x = 382,750,096/9,050
6. Step 6: Final answer
   x = 42,292.83