Finding the Third Proportional to 34,128 and 72,624

Step by Step Solution

1. Step 1: Write the proportion equation
   34,128 : 72,624 = 72,624 : x
2. Step 2: Convert to fraction form
   34,128/72,624 = 72,624/x
3. Step 3: Cross multiply
   34,128x = 72,624 × 72,624
4. Step 4: Simplify right side
   34,128x = 5,274,245,376
5. Step 5: Solve for x
   x = 5,274,245,376/34,128
6. Step 6: Final answer
   x = 154,543.05