Finding the Third Proportional to 34,656 and 74,240

Step by Step Solution

1. Step 1: Write the proportion equation
   34,656 : 74,240 = 74,240 : x
2. Step 2: Convert to fraction form
   34,656/74,240 = 74,240/x
3. Step 3: Cross multiply
   34,656x = 74,240 × 74,240
4. Step 4: Simplify right side
   34,656x = 5,511,577,600
5. Step 5: Solve for x
   x = 5,511,577,600/34,656
6. Step 6: Final answer
   x = 159,036.75