Finding the Third Proportional to 33,991 and 74,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,991 : 74,778.50 = 74,778.50 : x
2. Step 2: Convert to fraction form
   33,991/74,778.50 = 74,778.50/x
3. Step 3: Cross multiply
   33,991x = 74,778.50 × 74,778.50
4. Step 4: Simplify right side
   33,991x = 5,591,824,062.25
5. Step 5: Solve for x
   x = 5,591,824,062.25/33,991
6. Step 6: Final answer
   x = 164,508.96