Finding the Third Proportional to 10,072 and 16,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 16,403.50 = 16,403.50 : x
2. Step 2: Convert to fraction form
   10,072/16,403.50 = 16,403.50/x
3. Step 3: Cross multiply
   10,072x = 16,403.50 × 16,403.50
4. Step 4: Simplify right side
   10,072x = 269,074,812.25
5. Step 5: Solve for x
   x = 269,074,812.25/10,072
6. Step 6: Final answer
   x = 26,715.13