Finding the Third Proportional to 33,966 and 72,042.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,966 : 72,042.75 = 72,042.75 : x
2. Step 2: Convert to fraction form
   33,966/72,042.75 = 72,042.75/x
3. Step 3: Cross multiply
   33,966x = 72,042.75 × 72,042.75
4. Step 4: Simplify right side
   33,966x = 5,190,157,827.56
5. Step 5: Solve for x
   x = 5,190,157,827.56/33,966
6. Step 6: Final answer
   x = 152,804.51