Finding the Third Proportional to 33,992 and 74,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,992 : 74,780.50 = 74,780.50 : x
2. Step 2: Convert to fraction form
   33,992/74,780.50 = 74,780.50/x
3. Step 3: Cross multiply
   33,992x = 74,780.50 × 74,780.50
4. Step 4: Simplify right side
   33,992x = 5,592,123,180.25
5. Step 5: Solve for x
   x = 5,592,123,180.25/33,992
6. Step 6: Final answer
   x = 164,512.92