Finding the Third Proportional to 34,278 and 72,654

Step by Step Solution

1. Step 1: Write the proportion equation
   34,278 : 72,654 = 72,654 : x
2. Step 2: Convert to fraction form
   34,278/72,654 = 72,654/x
3. Step 3: Cross multiply
   34,278x = 72,654 × 72,654
4. Step 4: Simplify right side
   34,278x = 5,278,603,716
5. Step 5: Solve for x
   x = 5,278,603,716/34,278
6. Step 6: Final answer
   x = 153,993.92