Finding the Third Proportional to 14,566 and 21,886

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566 : 21,886 = 21,886 : x
2. Step 2: Convert to fraction form
   14,566/21,886 = 21,886/x
3. Step 3: Cross multiply
   14,566x = 21,886 × 21,886
4. Step 4: Simplify right side
   14,566x = 478,996,996
5. Step 5: Solve for x
   x = 478,996,996/14,566
6. Step 6: Final answer
   x = 32,884.59