Finding the Third Proportional to 33,731 and 72,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,731 : 72,564.50 = 72,564.50 : x
2. Step 2: Convert to fraction form
   33,731/72,564.50 = 72,564.50/x
3. Step 3: Cross multiply
   33,731x = 72,564.50 × 72,564.50
4. Step 4: Simplify right side
   33,731x = 5,265,606,660.25
5. Step 5: Solve for x
   x = 5,265,606,660.25/33,731
6. Step 6: Final answer
   x = 156,105.86