Finding the Third Proportional to 14,461 and 21,570

Step by Step Solution

1. Step 1: Write the proportion equation
   14,461 : 21,570 = 21,570 : x
2. Step 2: Convert to fraction form
   14,461/21,570 = 21,570/x
3. Step 3: Cross multiply
   14,461x = 21,570 × 21,570
4. Step 4: Simplify right side
   14,461x = 465,264,900
5. Step 5: Solve for x
   x = 465,264,900/14,461
6. Step 6: Final answer
   x = 32,173.77