Finding the Third Proportional to 7,165.50 and 14,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,165.50 : 14,524.50 = 14,524.50 : x
2. Step 2: Convert to fraction form
   7,165.50/14,524.50 = 14,524.50/x
3. Step 3: Cross multiply
   7,165.50x = 14,524.50 × 14,524.50
4. Step 4: Simplify right side
   7,165.50x = 210,961,100.25
5. Step 5: Solve for x
   x = 210,961,100.25/7,165.50
6. Step 6: Final answer
   x = 29,441.23