Finding the Third Proportional to 10,590 and 14,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590 : 14,116.50 = 14,116.50 : x
2. Step 2: Convert to fraction form
   10,590/14,116.50 = 14,116.50/x
3. Step 3: Cross multiply
   10,590x = 14,116.50 × 14,116.50
4. Step 4: Simplify right side
   10,590x = 199,275,572.25
5. Step 5: Solve for x
   x = 199,275,572.25/10,590
6. Step 6: Final answer
   x = 18,817.33