Finding the Third Proportional to 6,523 and 14,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,523 : 14,109.50 = 14,109.50 : x
2. Step 2: Convert to fraction form
   6,523/14,109.50 = 14,109.50/x
3. Step 3: Cross multiply
   6,523x = 14,109.50 × 14,109.50
4. Step 4: Simplify right side
   6,523x = 199,077,990.25
5. Step 5: Solve for x
   x = 199,077,990.25/6,523
6. Step 6: Final answer
   x = 30,519.39