Finding the Third Proportional to 14,180 and 33,118

Step by Step Solution

1. Step 1: Write the proportion equation
   14,180 : 33,118 = 33,118 : x
2. Step 2: Convert to fraction form
   14,180/33,118 = 33,118/x
3. Step 3: Cross multiply
   14,180x = 33,118 × 33,118
4. Step 4: Simplify right side
   14,180x = 1,096,801,924
5. Step 5: Solve for x
   x = 1,096,801,924/14,180
6. Step 6: Final answer
   x = 77,348.51