Finding the Third Proportional to 33,711 and 72,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,711 : 72,682.50 = 72,682.50 : x
2. Step 2: Convert to fraction form
   33,711/72,682.50 = 72,682.50/x
3. Step 3: Cross multiply
   33,711x = 72,682.50 × 72,682.50
4. Step 4: Simplify right side
   33,711x = 5,282,745,806.25
5. Step 5: Solve for x
   x = 5,282,745,806.25/33,711
6. Step 6: Final answer
   x = 156,706.89