Finding the Third Proportional to 33,831 and 74,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,831 : 74,101.50 = 74,101.50 : x
2. Step 2: Convert to fraction form
   33,831/74,101.50 = 74,101.50/x
3. Step 3: Cross multiply
   33,831x = 74,101.50 × 74,101.50
4. Step 4: Simplify right side
   33,831x = 5,491,032,302.25
5. Step 5: Solve for x
   x = 5,491,032,302.25/33,831
6. Step 6: Final answer
   x = 162,307.71