Finding the Third Proportional to 33,182 and 72,925

Step by Step Solution

1. Step 1: Write the proportion equation
   33,182 : 72,925 = 72,925 : x
2. Step 2: Convert to fraction form
   33,182/72,925 = 72,925/x
3. Step 3: Cross multiply
   33,182x = 72,925 × 72,925
4. Step 4: Simplify right side
   33,182x = 5,318,055,625
5. Step 5: Solve for x
   x = 5,318,055,625/33,182
6. Step 6: Final answer
   x = 160,269.29