Finding the Third Proportional to 33,173 and 69,419

Step by Step Solution

1. Step 1: Write the proportion equation
   33,173 : 69,419 = 69,419 : x
2. Step 2: Convert to fraction form
   33,173/69,419 = 69,419/x
3. Step 3: Cross multiply
   33,173x = 69,419 × 69,419
4. Step 4: Simplify right side
   33,173x = 4,818,997,561
5. Step 5: Solve for x
   x = 4,818,997,561/33,173
6. Step 6: Final answer
   x = 145,268.67