Finding the Third Proportional to 9,536 and 18,910

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 18,910 = 18,910 : x
2. Step 2: Convert to fraction form
   9,536/18,910 = 18,910/x
3. Step 3: Cross multiply
   9,536x = 18,910 × 18,910
4. Step 4: Simplify right side
   9,536x = 357,588,100
5. Step 5: Solve for x
   x = 357,588,100/9,536
6. Step 6: Final answer
   x = 37,498.75