Finding the Third Proportional to 13,920 and 22,146

Step by Step Solution

1. Step 1: Write the proportion equation
   13,920 : 22,146 = 22,146 : x
2. Step 2: Convert to fraction form
   13,920/22,146 = 22,146/x
3. Step 3: Cross multiply
   13,920x = 22,146 × 22,146
4. Step 4: Simplify right side
   13,920x = 490,445,316
5. Step 5: Solve for x
   x = 490,445,316/13,920
6. Step 6: Final answer
   x = 35,233.14