Finding the Third Proportional to 33,994.50 and 74,718.38

Step by Step Solution

1. Step 1: Write the proportion equation
   33,994.50 : 74,718.38 = 74,718.38 : x
2. Step 2: Convert to fraction form
   33,994.50/74,718.38 = 74,718.38/x
3. Step 3: Cross multiply
   33,994.50x = 74,718.38 × 74,718.38
4. Step 4: Simplify right side
   33,994.50x = 5,582,835,562.64
5. Step 5: Solve for x
   x = 5,582,835,562.64/33,994.50
6. Step 6: Final answer
   x = 164,227.61