Finding the Third Proportional to 10,523 and 21,572

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523 : 21,572 = 21,572 : x
2. Step 2: Convert to fraction form
   10,523/21,572 = 21,572/x
3. Step 3: Cross multiply
   10,523x = 21,572 × 21,572
4. Step 4: Simplify right side
   10,523x = 465,351,184
5. Step 5: Solve for x
   x = 465,351,184/10,523
6. Step 6: Final answer
   x = 44,222.29