Finding the Third Proportional to 34,354 and 72,396

Step by Step Solution

1. Step 1: Write the proportion equation
   34,354 : 72,396 = 72,396 : x
2. Step 2: Convert to fraction form
   34,354/72,396 = 72,396/x
3. Step 3: Cross multiply
   34,354x = 72,396 × 72,396
4. Step 4: Simplify right side
   34,354x = 5,241,180,816
5. Step 5: Solve for x
   x = 5,241,180,816/34,354
6. Step 6: Final answer
   x = 152,563.92