Finding the Third Proportional to 9,099 and 19,591

Step by Step Solution

1. Step 1: Write the proportion equation
   9,099 : 19,591 = 19,591 : x
2. Step 2: Convert to fraction form
   9,099/19,591 = 19,591/x
3. Step 3: Cross multiply
   9,099x = 19,591 × 19,591
4. Step 4: Simplify right side
   9,099x = 383,807,281
5. Step 5: Solve for x
   x = 383,807,281/9,099
6. Step 6: Final answer
   x = 42,181.26