Finding the Third Proportional to 34,290 and 72,792

Step by Step Solution

1. Step 1: Write the proportion equation
   34,290 : 72,792 = 72,792 : x
2. Step 2: Convert to fraction form
   34,290/72,792 = 72,792/x
3. Step 3: Cross multiply
   34,290x = 72,792 × 72,792
4. Step 4: Simplify right side
   34,290x = 5,298,675,264
5. Step 5: Solve for x
   x = 5,298,675,264/34,290
6. Step 6: Final answer
   x = 154,525.38