Finding the Third Proportional to 33,746.25 and 74,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,746.25 : 74,104.50 = 74,104.50 : x
2. Step 2: Convert to fraction form
   33,746.25/74,104.50 = 74,104.50/x
3. Step 3: Cross multiply
   33,746.25x = 74,104.50 × 74,104.50
4. Step 4: Simplify right side
   33,746.25x = 5,491,476,920.25
5. Step 5: Solve for x
   x = 5,491,476,920.25/33,746.25
6. Step 6: Final answer
   x = 162,728.51