Finding the Third Proportional to 10,732.50 and 14,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,732.50 : 14,109.75 = 14,109.75 : x
2. Step 2: Convert to fraction form
   10,732.50/14,109.75 = 14,109.75/x
3. Step 3: Cross multiply
   10,732.50x = 14,109.75 × 14,109.75
4. Step 4: Simplify right side
   10,732.50x = 199,085,045.06
5. Step 5: Solve for x
   x = 199,085,045.06/10,732.50
6. Step 6: Final answer
   x = 18,549.74