Finding the Third Proportional to 33,726 and 72,372.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,726 : 72,372.75 = 72,372.75 : x
2. Step 2: Convert to fraction form
   33,726/72,372.75 = 72,372.75/x
3. Step 3: Cross multiply
   33,726x = 72,372.75 × 72,372.75
4. Step 4: Simplify right side
   33,726x = 5,237,814,942.56
5. Step 5: Solve for x
   x = 5,237,814,942.56/33,726
6. Step 6: Final answer
   x = 155,304.96