Finding the Third Proportional to 10,120 and 18,272

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120 : 18,272 = 18,272 : x
2. Step 2: Convert to fraction form
   10,120/18,272 = 18,272/x
3. Step 3: Cross multiply
   10,120x = 18,272 × 18,272
4. Step 4: Simplify right side
   10,120x = 333,865,984
5. Step 5: Solve for x
   x = 333,865,984/10,120
6. Step 6: Final answer
   x = 32,990.71