Finding the Third Proportional to 34,296 and 74,904

Step by Step Solution

1. Step 1: Write the proportion equation
   34,296 : 74,904 = 74,904 : x
2. Step 2: Convert to fraction form
   34,296/74,904 = 74,904/x
3. Step 3: Cross multiply
   34,296x = 74,904 × 74,904
4. Step 4: Simplify right side
   34,296x = 5,610,609,216
5. Step 5: Solve for x
   x = 5,610,609,216/34,296
6. Step 6: Final answer
   x = 163,593.69