Finding the Third Proportional to 19,536 and 30,624

Step by Step Solution

1. Step 1: Write the proportion equation
   19,536 : 30,624 = 30,624 : x
2. Step 2: Convert to fraction form
   19,536/30,624 = 30,624/x
3. Step 3: Cross multiply
   19,536x = 30,624 × 30,624
4. Step 4: Simplify right side
   19,536x = 937,829,376
5. Step 5: Solve for x
   x = 937,829,376/19,536
6. Step 6: Final answer
   x = 48,005.19