Finding the Third Proportional to 33,934.50 and 74,634.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,934.50 : 74,634.75 = 74,634.75 : x
2. Step 2: Convert to fraction form
   33,934.50/74,634.75 = 74,634.75/x
3. Step 3: Cross multiply
   33,934.50x = 74,634.75 × 74,634.75
4. Step 4: Simplify right side
   33,934.50x = 5,570,345,907.56
5. Step 5: Solve for x
   x = 5,570,345,907.56/33,934.50
6. Step 6: Final answer
   x = 164,149.93