Finding the Third Proportional to 10,588 and 14,978

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 14,978 = 14,978 : x
2. Step 2: Convert to fraction form
   10,588/14,978 = 14,978/x
3. Step 3: Cross multiply
   10,588x = 14,978 × 14,978
4. Step 4: Simplify right side
   10,588x = 224,340,484
5. Step 5: Solve for x
   x = 224,340,484/10,588
6. Step 6: Final answer
   x = 21,188.18