Finding the Third Proportional to 7,897.50 and 14,610.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,897.50 : 14,610.38 = 14,610.38 : x
2. Step 2: Convert to fraction form
   7,897.50/14,610.38 = 14,610.38/x
3. Step 3: Cross multiply
   7,897.50x = 14,610.38 × 14,610.38
4. Step 4: Simplify right side
   7,897.50x = 213,463,057.64
5. Step 5: Solve for x
   x = 213,463,057.64/7,897.50
6. Step 6: Final answer
   x = 27,029.19