Finding the Third Proportional to 10,588 and 14,562

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 14,562 = 14,562 : x
2. Step 2: Convert to fraction form
   10,588/14,562 = 14,562/x
3. Step 3: Cross multiply
   10,588x = 14,562 × 14,562
4. Step 4: Simplify right side
   10,588x = 212,051,844
5. Step 5: Solve for x
   x = 212,051,844/10,588
6. Step 6: Final answer
   x = 20,027.56