Finding the Third Proportional to 9,624 and 17,358

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 17,358 = 17,358 : x
2. Step 2: Convert to fraction form
   9,624/17,358 = 17,358/x
3. Step 3: Cross multiply
   9,624x = 17,358 × 17,358
4. Step 4: Simplify right side
   9,624x = 301,300,164
5. Step 5: Solve for x
   x = 301,300,164/9,624
6. Step 6: Final answer
   x = 31,307.17