Finding the Third Proportional to 10,506 and 21,537

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 21,537 = 21,537 : x
2. Step 2: Convert to fraction form
   10,506/21,537 = 21,537/x
3. Step 3: Cross multiply
   10,506x = 21,537 × 21,537
4. Step 4: Simplify right side
   10,506x = 463,842,369
5. Step 5: Solve for x
   x = 463,842,369/10,506
6. Step 6: Final answer
   x = 44,150.24