Finding the Third Proportional to 33,840 and 74,160

Step by Step Solution

1. Step 1: Write the proportion equation
   33,840 : 74,160 = 74,160 : x
2. Step 2: Convert to fraction form
   33,840/74,160 = 74,160/x
3. Step 3: Cross multiply
   33,840x = 74,160 × 74,160
4. Step 4: Simplify right side
   33,840x = 5,499,705,600
5. Step 5: Solve for x
   x = 5,499,705,600/33,840
6. Step 6: Final answer
   x = 162,520.85