Finding the Third Proportional to 10,102.50 and 16,215.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.50 : 16,215.75 = 16,215.75 : x
2. Step 2: Convert to fraction form
   10,102.50/16,215.75 = 16,215.75/x
3. Step 3: Cross multiply
   10,102.50x = 16,215.75 × 16,215.75
4. Step 4: Simplify right side
   10,102.50x = 262,950,548.06
5. Step 5: Solve for x
   x = 262,950,548.06/10,102.50
6. Step 6: Final answer
   x = 26,028.27