Finding the Third Proportional to 33,996 and 74,712

Step by Step Solution

1. Step 1: Write the proportion equation
   33,996 : 74,712 = 74,712 : x
2. Step 2: Convert to fraction form
   33,996/74,712 = 74,712/x
3. Step 3: Cross multiply
   33,996x = 74,712 × 74,712
4. Step 4: Simplify right side
   33,996x = 5,581,882,944
5. Step 5: Solve for x
   x = 5,581,882,944/33,996
6. Step 6: Final answer
   x = 164,192.34