Finding the Third Proportional to 9,164 and 19,624

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164 : 19,624 = 19,624 : x
2. Step 2: Convert to fraction form
   9,164/19,624 = 19,624/x
3. Step 3: Cross multiply
   9,164x = 19,624 × 19,624
4. Step 4: Simplify right side
   9,164x = 385,101,376
5. Step 5: Solve for x
   x = 385,101,376/9,164
6. Step 6: Final answer
   x = 42,023.28