Finding the Third Proportional to 9,095 and 19,583

Step by Step Solution

1. Step 1: Write the proportion equation
   9,095 : 19,583 = 19,583 : x
2. Step 2: Convert to fraction form
   9,095/19,583 = 19,583/x
3. Step 3: Cross multiply
   9,095x = 19,583 × 19,583
4. Step 4: Simplify right side
   9,095x = 383,493,889
5. Step 5: Solve for x
   x = 383,493,889/9,095
6. Step 6: Final answer
   x = 42,165.35