Finding the Third Proportional to 33,840 and 74,025

Step by Step Solution

1. Step 1: Write the proportion equation
   33,840 : 74,025 = 74,025 : x
2. Step 2: Convert to fraction form
   33,840/74,025 = 74,025/x
3. Step 3: Cross multiply
   33,840x = 74,025 × 74,025
4. Step 4: Simplify right side
   33,840x = 5,479,700,625
5. Step 5: Solve for x
   x = 5,479,700,625/33,840
6. Step 6: Final answer
   x = 161,929.69