Finding the Third Proportional to 34,083 and 72,324

Step by Step Solution

1. Step 1: Write the proportion equation
   34,083 : 72,324 = 72,324 : x
2. Step 2: Convert to fraction form
   34,083/72,324 = 72,324/x
3. Step 3: Cross multiply
   34,083x = 72,324 × 72,324
4. Step 4: Simplify right side
   34,083x = 5,230,760,976
5. Step 5: Solve for x
   x = 5,230,760,976/34,083
6. Step 6: Final answer
   x = 153,471.26