Finding the Third Proportional to 33,965 and 74,654

Step by Step Solution

1. Step 1: Write the proportion equation
   33,965 : 74,654 = 74,654 : x
2. Step 2: Convert to fraction form
   33,965/74,654 = 74,654/x
3. Step 3: Cross multiply
   33,965x = 74,654 × 74,654
4. Step 4: Simplify right side
   33,965x = 5,573,219,716
5. Step 5: Solve for x
   x = 5,573,219,716/33,965
6. Step 6: Final answer
   x = 164,087.14