Finding the Third Proportional to 33,410 and 72,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,410 : 72,003.50 = 72,003.50 : x
2. Step 2: Convert to fraction form
   33,410/72,003.50 = 72,003.50/x
3. Step 3: Cross multiply
   33,410x = 72,003.50 × 72,003.50
4. Step 4: Simplify right side
   33,410x = 5,184,504,012.25
5. Step 5: Solve for x
   x = 5,184,504,012.25/33,410
6. Step 6: Final answer
   x = 155,178.21