Finding the Third Proportional to 10,920 and 17,547

Step by Step Solution

1. Step 1: Write the proportion equation
   10,920 : 17,547 = 17,547 : x
2. Step 2: Convert to fraction form
   10,920/17,547 = 17,547/x
3. Step 3: Cross multiply
   10,920x = 17,547 × 17,547
4. Step 4: Simplify right side
   10,920x = 307,897,209
5. Step 5: Solve for x
   x = 307,897,209/10,920
6. Step 6: Final answer
   x = 28,195.72