Finding the Third Proportional to 33,972 and 72,054.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,972 : 72,054.75 = 72,054.75 : x
2. Step 2: Convert to fraction form
   33,972/72,054.75 = 72,054.75/x
3. Step 3: Cross multiply
   33,972x = 72,054.75 × 72,054.75
4. Step 4: Simplify right side
   33,972x = 5,191,886,997.56
5. Step 5: Solve for x
   x = 5,191,886,997.56/33,972
6. Step 6: Final answer
   x = 152,828.42