Finding the Third Proportional to 9,814.50 and 16,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 16,402.50 = 16,402.50 : x
2. Step 2: Convert to fraction form
   9,814.50/16,402.50 = 16,402.50/x
3. Step 3: Cross multiply
   9,814.50x = 16,402.50 × 16,402.50
4. Step 4: Simplify right side
   9,814.50x = 269,042,006.25
5. Step 5: Solve for x
   x = 269,042,006.25/9,814.50
6. Step 6: Final answer
   x = 27,412.71