Finding the Third Proportional to 9,182 and 19,594

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182 : 19,594 = 19,594 : x
2. Step 2: Convert to fraction form
   9,182/19,594 = 19,594/x
3. Step 3: Cross multiply
   9,182x = 19,594 × 19,594
4. Step 4: Simplify right side
   9,182x = 383,924,836
5. Step 5: Solve for x
   x = 383,924,836/9,182
6. Step 6: Final answer
   x = 41,812.77