Finding the Third Proportional to 9,516 and 21,520

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516 : 21,520 = 21,520 : x
2. Step 2: Convert to fraction form
   9,516/21,520 = 21,520/x
3. Step 3: Cross multiply
   9,516x = 21,520 × 21,520
4. Step 4: Simplify right side
   9,516x = 463,110,400
5. Step 5: Solve for x
   x = 463,110,400/9,516
6. Step 6: Final answer
   x = 48,666.50