Finding the Third Proportional to 9,627 and 14,520

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627 : 14,520 = 14,520 : x
2. Step 2: Convert to fraction form
   9,627/14,520 = 14,520/x
3. Step 3: Cross multiply
   9,627x = 14,520 × 14,520
4. Step 4: Simplify right side
   9,627x = 210,830,400
5. Step 5: Solve for x
   x = 210,830,400/9,627
6. Step 6: Final answer
   x = 21,899.91