Finding the Third Proportional to 33,735 and 50,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,735 : 50,419.50 = 50,419.50 : x
2. Step 2: Convert to fraction form
   33,735/50,419.50 = 50,419.50/x
3. Step 3: Cross multiply
   33,735x = 50,419.50 × 50,419.50
4. Step 4: Simplify right side
   33,735x = 2,542,125,980.25
5. Step 5: Solve for x
   x = 2,542,125,980.25/33,735
6. Step 6: Final answer
   x = 75,355.74