Finding the Third Proportional to 33,966 and 72,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,966 : 72,061.50 = 72,061.50 : x
2. Step 2: Convert to fraction form
   33,966/72,061.50 = 72,061.50/x
3. Step 3: Cross multiply
   33,966x = 72,061.50 × 72,061.50
4. Step 4: Simplify right side
   33,966x = 5,192,859,782.25
5. Step 5: Solve for x
   x = 5,192,859,782.25/33,966
6. Step 6: Final answer
   x = 152,884.05