Finding the Third Proportional to 33,834 and 72,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834 : 72,655.50 = 72,655.50 : x
2. Step 2: Convert to fraction form
   33,834/72,655.50 = 72,655.50/x
3. Step 3: Cross multiply
   33,834x = 72,655.50 × 72,655.50
4. Step 4: Simplify right side
   33,834x = 5,278,821,680.25
5. Step 5: Solve for x
   x = 5,278,821,680.25/33,834
6. Step 6: Final answer
   x = 156,021.21