Finding the Third Proportional to 33,972 and 74,114

Step by Step Solution

1. Step 1: Write the proportion equation
   33,972 : 74,114 = 74,114 : x
2. Step 2: Convert to fraction form
   33,972/74,114 = 74,114/x
3. Step 3: Cross multiply
   33,972x = 74,114 × 74,114
4. Step 4: Simplify right side
   33,972x = 5,492,884,996
5. Step 5: Solve for x
   x = 5,492,884,996/33,972
6. Step 6: Final answer
   x = 161,688.60