Finding the Third Proportional to 10,402.50 and 16,900.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.50 : 16,900.38 = 16,900.38 : x
2. Step 2: Convert to fraction form
   10,402.50/16,900.38 = 16,900.38/x
3. Step 3: Cross multiply
   10,402.50x = 16,900.38 × 16,900.38
4. Step 4: Simplify right side
   10,402.50x = 285,622,675.14
5. Step 5: Solve for x
   x = 285,622,675.14/10,402.50
6. Step 6: Final answer
   x = 27,457.12