Finding the Third Proportional to 33,991.50 and 74,780.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,991.50 : 74,780.25 = 74,780.25 : x
2. Step 2: Convert to fraction form
   33,991.50/74,780.25 = 74,780.25/x
3. Step 3: Cross multiply
   33,991.50x = 74,780.25 × 74,780.25
4. Step 4: Simplify right side
   33,991.50x = 5,592,085,790.06
5. Step 5: Solve for x
   x = 5,592,085,790.06/33,991.50
6. Step 6: Final answer
   x = 164,514.24