Finding the Third Proportional to 7,625.81 and 16,223.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,625.81 : 16,223.63 = 16,223.63 : x
2. Step 2: Convert to fraction form
   7,625.81/16,223.63 = 16,223.63/x
3. Step 3: Cross multiply
   7,625.81x = 16,223.63 × 16,223.63
4. Step 4: Simplify right side
   7,625.81x = 263,206,008.14
5. Step 5: Solve for x
   x = 263,206,008.14/7,625.81
6. Step 6: Final answer
   x = 34,515.14