Finding the Third Proportional to 9,814.50 and 14,952.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 14,952.94 = 14,952.94 : x
2. Step 2: Convert to fraction form
   9,814.50/14,952.94 = 14,952.94/x
3. Step 3: Cross multiply
   9,814.50x = 14,952.94 × 14,952.94
4. Step 4: Simplify right side
   9,814.50x = 223,590,339.88
5. Step 5: Solve for x
   x = 223,590,339.88/9,814.50
6. Step 6: Final answer
   x = 22,781.63