Finding the Third Proportional to 35,616 and 50,624

Step by Step Solution

1. Step 1: Write the proportion equation
   35,616 : 50,624 = 50,624 : x
2. Step 2: Convert to fraction form
   35,616/50,624 = 50,624/x
3. Step 3: Cross multiply
   35,616x = 50,624 × 50,624
4. Step 4: Simplify right side
   35,616x = 2,562,789,376
5. Step 5: Solve for x
   x = 2,562,789,376/35,616
6. Step 6: Final answer
   x = 71,956.13