Finding the Third Proportional to 35,144 and 54,624

Step by Step Solution

1. Step 1: Write the proportion equation
   35,144 : 54,624 = 54,624 : x
2. Step 2: Convert to fraction form
   35,144/54,624 = 54,624/x
3. Step 3: Cross multiply
   35,144x = 54,624 × 54,624
4. Step 4: Simplify right side
   35,144x = 2,983,781,376
5. Step 5: Solve for x
   x = 2,983,781,376/35,144
6. Step 6: Final answer
   x = 84,901.59