Finding the Third Proportional to 7,500 and 17,363

Step by Step Solution

1. Step 1: Write the proportion equation
   7,500 : 17,363 = 17,363 : x
2. Step 2: Convert to fraction form
   7,500/17,363 = 17,363/x
3. Step 3: Cross multiply
   7,500x = 17,363 × 17,363
4. Step 4: Simplify right side
   7,500x = 301,473,769
5. Step 5: Solve for x
   x = 301,473,769/7,500
6. Step 6: Final answer
   x = 40,196.50