Finding the Third Proportional to 33,706 and 72,500

Step by Step Solution

1. Step 1: Write the proportion equation
   33,706 : 72,500 = 72,500 : x
2. Step 2: Convert to fraction form
   33,706/72,500 = 72,500/x
3. Step 3: Cross multiply
   33,706x = 72,500 × 72,500
4. Step 4: Simplify right side
   33,706x = 5,256,250,000
5. Step 5: Solve for x
   x = 5,256,250,000/33,706
6. Step 6: Final answer
   x = 155,944.05