Finding the Third Proportional to 35,274 and 54,654

Step by Step Solution

1. Step 1: Write the proportion equation
   35,274 : 54,654 = 54,654 : x
2. Step 2: Convert to fraction form
   35,274/54,654 = 54,654/x
3. Step 3: Cross multiply
   35,274x = 54,654 × 54,654
4. Step 4: Simplify right side
   35,274x = 2,987,059,716
5. Step 5: Solve for x
   x = 2,987,059,716/35,274
6. Step 6: Final answer
   x = 84,681.63