Finding the Third Proportional to 21,624 and 28,516

Step by Step Solution

1. Step 1: Write the proportion equation
   21,624 : 28,516 = 28,516 : x
2. Step 2: Convert to fraction form
   21,624/28,516 = 28,516/x
3. Step 3: Cross multiply
   21,624x = 28,516 × 28,516
4. Step 4: Simplify right side
   21,624x = 813,162,256
5. Step 5: Solve for x
   x = 813,162,256/21,624
6. Step 6: Final answer
   x = 37,604.62