Finding the Third Proportional to 33,182 and 72,926

Step by Step Solution

1. Step 1: Write the proportion equation
   33,182 : 72,926 = 72,926 : x
2. Step 2: Convert to fraction form
   33,182/72,926 = 72,926/x
3. Step 3: Cross multiply
   33,182x = 72,926 × 72,926
4. Step 4: Simplify right side
   33,182x = 5,318,201,476
5. Step 5: Solve for x
   x = 5,318,201,476/33,182
6. Step 6: Final answer
   x = 160,273.69