Finding the Third Proportional to 33,254 and 72,969

Step by Step Solution

1. Step 1: Write the proportion equation
   33,254 : 72,969 = 72,969 : x
2. Step 2: Convert to fraction form
   33,254/72,969 = 72,969/x
3. Step 3: Cross multiply
   33,254x = 72,969 × 72,969
4. Step 4: Simplify right side
   33,254x = 5,324,474,961
5. Step 5: Solve for x
   x = 5,324,474,961/33,254
6. Step 6: Final answer
   x = 160,115.32