Finding the Third Proportional to 10,249 and 16,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,249 : 16,007.50 = 16,007.50 : x
2. Step 2: Convert to fraction form
   10,249/16,007.50 = 16,007.50/x
3. Step 3: Cross multiply
   10,249x = 16,007.50 × 16,007.50
4. Step 4: Simplify right side
   10,249x = 256,240,056.25
5. Step 5: Solve for x
   x = 256,240,056.25/10,249
6. Step 6: Final answer
   x = 25,001.47