Finding the Third Proportional to 33,997.50 and 74,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,997.50 : 74,791.50 = 74,791.50 : x
2. Step 2: Convert to fraction form
   33,997.50/74,791.50 = 74,791.50/x
3. Step 3: Cross multiply
   33,997.50x = 74,791.50 × 74,791.50
4. Step 4: Simplify right side
   33,997.50x = 5,593,768,472.25
5. Step 5: Solve for x
   x = 5,593,768,472.25/33,997.50
6. Step 6: Final answer
   x = 164,534.70